Institutionen der Katholischen Universität Eichstätt-Ingolstadt
Mathematisch-Geographische Fakultät > Mathematik > Lehrstuhl für Mathematik - Angewandte Mathematik

Blatt, Hans-Peter:
Near-Circularity in Capacity and Maximally Convergent Polynomials.
In: Computational methods and function theory. (13. März 2024). - 22 S.
ISSN 1617-9447 ; 2195-3724
10.1007/s40315-024-00528-5
(Peer-Review-Journal)

Kutsenko, Anton:
Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case.
In: The journal of Fourier analysis and applications. 30 (2024): 39. - 12 S.
ISSN 1069-5869 ; 1531-5851
10.1007/s00041-024-10096-w
(Peer-Review-Journal)

Guella, Jean Carlo ; Jäger, Janin:
Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds : the asymptotic approach.
In: Positivity. 28 (2024): 4. - 14 S.
ISSN 1385-1292 ; 1572-9281
10.1007/s11117-023-01022-3
(Peer-Review-Journal)

Kutsenko, Anton:
Approximation of the Number of Descendants in Branching Processes.
In: Journal of statistical physics. 190 (2023) 3: 68.
ISSN 1572-9613 ; 0022-4715
10.1007/s10955-023-03079-6
(Peer-Review-Journal)

Chouksey, Manita ; Eden, Carsten ; Masur, Gökce Tuba ; Oliver, Marcel:
A comparison of methods to balance geophysical flows.
In: Journal of fluid mechanics. 971 (2023). - 19 S.
ISSN 0022-1120 ; 1469-7645
10.1017/jfm.2023.602
(Peer-Review-Journal)

Darbenas, Zymantas ; van der Hout, Rein ; Oliver, Marcel:
Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit.
In: Journal of differential equations. 347 (2023). - S. 212-245.
ISSN 1090-2732 ; 0022-0396
10.1016/j.jde.2022.11.038
(Peer-Review-Journal)

Kutsenko, Anton:
A note on exotic integrals.
In: Proceedings of the American Mathematical Society. 151 (2023) 4. - S. 1697-1703.
ISSN 0002-9939 ; 1088-6826
10.1090/proc/16279
(Peer-Review-Journal)

Masur, Gökce Tuba ; Mohamad, Haidar ; Oliver, Marcel:
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging.
In: Multiscale modeling & simulation. 21 (2023) 2. - S. 624-640.
ISSN 1540-3467 ; 1540-3459
10.1137/22M1506018
(Peer-Review-Journal)

Juricke, Stephan ; Bellinghausen, Kai ; Danilov, Sergey ; Kutsenko, Anton ; Oliver, Marcel:
Scale Analysis on Unstructured Grids : Kinetic Energy and Dissipation Power Spectra on Triangular Meshes.
In: Journal of advances in modeling earth systems. 15 (2023) 1. - 20 S.
ISSN 1942-2466
10.1029/2022MS003280
(Peer-Review-Journal)

Darbenas, Zymantas ; van der Hout, Rein ; Oliver, Marcel:
Long-time asymptotics of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit.
In: Annales de l'Institut Henri Poincaré. C, Nonlinear analysis. 39 (2022) 6. - S. 1413-1458. - 46 S.
ISSN 1873-1430 ; 0294-1449
10.4171/AIHPC/34
(Peer-Review-Journal)

Darbenas, Zymantas ; Oliver, Marcel:
Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model.
In: Nonlinear differential equations and applications. 28 (2021): 4. - 34 S.
ISSN 1420-9004 ; 1021-9722
10.1007/s00030-020-00663-7
(Peer-Review-Journal)

Mohamad, Haidar ; Oliver, Marcel:
Numerical Integration of Functions of a Rapidly Rotating Phase.
In: SIAM journal on numerical analysis. 59 (2021) 4. - S. 2310-2319.
ISSN 0036-1429 ; 1095-7170
10.1137/19M128658X
(Peer-Review-Journal)

Özden, Gözde ; Oliver, Marcel:
Variational balance models for the three-dimensional Euler–Boussinesq equations with full Coriolis force.
In: Physics of fluids. 33 (2021) 7: 076606. - 15 S.
ISSN 1089-7666 ; 1070-6631
10.1063/5.0053092
(Peer-Review-Journal)

Darbenas, Zymantas ; van der Hout, Rein ; Oliver, Marcel:
Conditional uniqueness of solutions to the Keller-Rubinow model for Liesegang rings in the fast reaction limit.
2020. - 29 S.
arXiv:2011.12441

Mohamad, Haidar ; Oliver, Marcel:
High-order uniformly accurate time integrators for semilinear wave equations of Klein-Gordon type in the non-relativistic limit.
2020. - 15 S.
arXiv:2008.05227

Juricke, Stephan ; Danilov, Sergey ; Koldunov, Nikolay ; Oliver, Marcel ; Sein, Dmitry ; Sidorenko, Dmitry ; Wang, Qiang:
A Kinematic Kinetic Energy Backscatter Parametrization : from Implementation to Global Ocean Simulations.
In: Journal of advances in modeling earth systems : JAMES. 12 (2020) 12: e2020MS002175. - 20 S.
ISSN 1942-2466
10.1029/2020MS002175
(Peer-Review-Journal)

Juricke, Stephan ; Danilov, Sergey ; Koldunov, Nikolay ; Oliver, Marcel ; Sidorenko, Dmitry:
Ocean Kinetic Energy Backscatter Parametrization on Unstructured Grids : Impact on Global Eddy-Permitting Simulations.
In: Journal of advances in modeling earth systems : JAMES. 12 (2020) 1: e2019MS001855. - 21 S.
ISSN 1942-2466
10.1029/2019MS001855
(Peer-Review-Journal)

Akramov, Ibrokhimbek ; Oliver, Marcel:
On the Existence of Solutions to a Bi-Planar Monge-Ampère Equation.
In: Acta Mathematica Scientia. 40 (2020). - S. 379-388.
ISSN 1003-3998 ; 1572-9087
10.1007/s10473-020-0206-6
(Peer-Review-Journal)

Masur, Gökce Tuba ; Oliver, Marcel:
Optimal balance for rotating shallow water in primitive variables.
In: Geophysical & astrophysical fluid dynamics. 114 (2020) 4-5. - S. 429-452.
ISSN 1029-0419 ; 0309-1929
10.1080/03091929.2020.1745789
(Peer-Review-Journal)

Mohamad, Haidar ; Oliver, Marcel:
A direct construction of a slow manifold for a semilinear wave equation of Klein–Gordon type.
In: Journal of differential equations. 267 (2019) 1. - S. 1-14.
ISSN 1090-2732 ; 0022-0396
10.1016/j.jde.2019.01.001
(Peer-Review-Journal)

Oliver, Marcel ; Vasylkevych, Sergiy:
Geodesic motion on groups of diffeomorphisms with H1 metric as geometric generalised Lagrangian mean theory.
In: Geophysical & astrophysical fluid dynamics. 113 (2019) 5-6. - S. 466-490.
ISSN 1029-0419 ; 0309-1929
10.1080/03091929.2019.1639697
(Peer-Review-Journal)

Juricke, Stephan ; Danilov, Sergey ; Kutsenko, Anton ; Oliver, Marcel:
Ocean kinetic energy backscatter parametrizations on unstructured grids : impact on mesoscale turbulence in a channel.
In: Ocean modelling. 138 (2019). - S. 51-67.
ISSN 1463-5003 ; 1463-5011
10.1016/j.ocemod.2019.03.009
(Peer-Review-Journal)

Danilov, Sergey ; Juricke, Stephan ; Kutsenko, Anton ; Oliver, Marcel:
Toward Consistent Subgrid Momentum Closures in Ocean Models.
In: Eden, Carsten ; Iske, Armin (Hrsg.): Energy Transfers in Atmosphere and Ocean. - Cham, Switzerland : Springer, 2019. - S. 145-192. - (Mathematics of Planet Earth ; 1)
ISBN 978-3-030-05704-6 ; 978-3-030-05703-9
ISSN 2524-4272
10.1007/978-3-030-05704-6_5

Darbenas, Zymantas ; Oliver, Marcel:
Uniqueness of solutions for weakly degenerate cordial Volterra integral equations.
In: Journal of integral equations and applications. 31 (2019) 3. - S. 307-327.
ISSN 1938-2626 ; 0897-3962
10.1216/JIE-2019-31-3-307
(Peer-Review-Journal)

Blatt, Hans-Peter:
Exact Maximal Convergence in Capacity and Zero Distribution of Rational Approximants.
In: Computational methods and function theory. 15 (Dezember 2015) 4. - S. 605-633.
ISSN 1617-9447 ; 2195-3724
(Peer-Review-Journal)

Fieger, Regina:
Discrepancy Theorems for the Zero Distribution of Rational Functions.
In: Constructive approximation. 42 (2015) 1. - S. 65-92.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Blatt, Hans-Peter ; Kovacheva, Ralitza K.:
Distribution of interpolation points of maximally convergent multipoint Padé approximants.
In: Journal of approximation theory. 191 (2015). - S. 46-57.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Maximally convergent rational approximants of meromrophic functions.
In: Banach Center publications / Polish Academy of Sciences, Institute of Mathematics. 107 (2015). - S. 63-78.
ISSN 0137-6934
(Peer-Review-Journal)

Blatt, Hans-Peter:
Convergence in capacity of rational approximants of meromorphic functions.
In: Publications de l'Institut Mathématique / Nouvelle Série. 96 (2014) 110. - S. 31-39.
ISSN 0350-1302
(Peer-Review-Journal)

Blatt, Hans-Peter ; Fieger, Regina:
Erdös-Turán-type discrepancy for the zeros of rational functions.
In: Electronic notes in discrete mathematics. 43 (September 2013). - S. 401-409.
ISSN 1571-0653
(Peer-Review-Journal)

Luh, Wolfgang ; Nieß, Markus:
Elongating the partial sums of Faber series.
In: Journal of mathematical analysis and applications. (13. August 2012).
ISSN 0022-247x ; 1096-0813
(Peer-Review-Journal)

Kalmes, Thomas ; Nieß, Markus:
Composition and differentiation operators and fast approximation.
In: Journal of approximation theory. 164 (2012) 1. - S. 57-76.
ISSN 0021-9045
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter ; Kovacheva, Ralitza K.:
On the distribution of zeros and poles of rational approximants on intervals.
In: Abstract and Applied Analysis : AAA. 2012 (2012).
ISSN 1085-3375 ; 1687-0409
(Peer-Review-Journal)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Growth behavior and zero distribution of maximally convergent rational approximants.
In: Neamtu, Marian ; Schumaker, Larry (Hrsg.): Approximation Theory XIII: San Antonio 2010. - New York : Springer, 2011. - (Springer Proceedings in Mathematics ; 13)
ISBN 978-1-4614-0771-3

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
On approximation of continuous functions by trigonomeric polynomials.
In: Journal of approximation theory. 163 (2011). - S. 249-266.
ISSN 0021-9045
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
On the Distribution of Zeros of Faber Polynomials.
In: Computational methods and function theory. 11 (2011) 1. - S. 263-282.
ISSN 1617-9447 ; 2195-3724
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter ; Fieger, Regina:
On the distribution of zeros of monic polynomials with a given uniform norm on a quasidisk.
In: Analysis : international mathematical journal of analysis and its applications. 31 (2011) 2. - S. 145-163.
ISSN 0174-4747 ; 2196-6753
(Peer-Review-Journal)

Nieß, Markus:
On the sharpness of Jentzsch´s Theorem - Generic properties.
In: Houston journal of mathematics. 37 (2011) 2. - S. 577-589.
ISSN 0362-1588
(Peer-Review-Journal)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Regions of meromorphy and value distribution of geometrically converging rational functions.
In: Journal of mathematical analysis and applications. 382 (2011). - S. 66-76.
ISSN 0022-247x ; 1096-0813
(Peer-Review-Journal)

Meyrath, Thierry ; Nieß, Markus:
Universal distribution of limit points.
In: Acta mathematica Hungarica. 133 (2011) 3. - S. 288-303.
ISSN 0001-5954 ; 0236-5294
(Peer-Review-Journal)

Blatt, Hans-Peter ; Kovacheva, Ralitza K.:
Growth behaviour and zero distribution of rational approximants.
In: Constructive approximation. 34 (2010). - S. 393-420.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Nieß, Markus:
On universal phenomena in the complex plane.
2010
(Habilitation, 2010, Katholische Universität Eichstätt-Ingolstadt)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
Polynomials with prescribed zeros on an analytic curve.
In: Acta mathematica Hungarica. 128 (2010). - S. 221-238.
ISSN 0001-5954 ; 0236-5294
(Peer-Review-Journal)

Nieß, Markus ; Kalmes, Thomas:
Universal zero solutions of linear partial differential operators.
In: Studia mathematica / Polska Akademia Nauk, Instytut Matematyczny. 198 (2010) 1. - S. 33-51.
ISSN 0039-3223 ; 1730-6337
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
Polynomial Approximation of Functions on a Quasi-Smooth Arc with Hermitian Interpolation.
In: Constructive approximation. 30 (August 2009) 1. - S. 121-135.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Blatt, Hans-Peter ; Blatt, Simon ; Luh, Wolfgang:
On a generalization of Jentzsch´s theorem.
In: Journal of approximation theory. 159 (Juli 2009) 1. - S. 26-38.
ISSN 0021-9045
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
On Approximation by Entire Functions on an Unbounded Quasi-Smooth Curve.
In: Computational methods and function theory. 9 (Februar 2009) 2. - S. 525-550.
ISSN 1617-9447 ; 2195-3724
(Peer-Review-Journal)

Nieß, Markus:
Close universal approximants of the Riemann zeta-function.
In: Steuding, Rasa ; Steuding, Jörn (Hrsg.): New directions in value-distribution theory of zeta and L-functions : proceedings of the conference, Würzburg, October 6-10, 2008. - Aachen : Shaker, 2009. - S. 295-303
ISBN 978-3-8322-8818-1

Grothmann, René ; Sommer, Manfred:
Composing circular arcs with minimal NURBS.
In: International mathematical forum. 4 (2009) 5-8. - S. 193-218.
ISSN 1312-7594
(Peer-Review-Journal)

Blatt, Hans-Peter:
Divergence of Rational Approximants to Non-Analytic Functions.
In: Bakry, D. ; Beznea, L. ; Boboc, N. ; Rockner, M. (Hrsg.): Potential Theory and Stochastics in Albac : Aurel Cornea Memorial Volume ; conference proceedings, Albac, September 4-8, 2007. - Bucharest : Theta, 2009. - (Theta series in advanced mathematics ; 11)
ISBN 973-87899-5-8

Blatt, Hans-Peter:
The impact of poles on the convergence of best rational approximants.
In: Journal of contemporary mathematical analysis. 44 (2009) 4. - S. 243-251.
ISSN 1068-3623
(Peer-Review-Journal)

Müller, Jürgen ; Nieß, Markus:
Lacunary Tangential Approximation.
In: Indagationes mathematicae / Koninklijke Nederlandse Akademie van Wetenschappen. 20 (2009) 3. - S. 453-461.
ISSN 0019-3577 ; 1872-6100
(Peer-Review-Journal)

Nieß, Markus:
On universal relatives of the Riemann zeta-function.
In: Journal of contemporary mathematical analysis. 44 (2009) 5. - S. 335-339.
ISSN 1068-3623
(Peer-Review-Journal)

Nieß, Markus:
Universal approximants of the Riemann zeta-function.
In: Computational methods and function theory. 9 (2009) 1. - S. 145-159.
ISSN 1617-9447 ; 2195-3724
(Peer-Review-Journal)

Bernal-Gonzáles, Luis ; Bonilla, Antonio ; Nieß, Markus:
Universal functions with prescribed zeros and interpolation properties.
In: Michigan Mathematical Journal. 58 (2009) 3. - S. 627-638.
ISSN 0026-2285 ; 0021-2164
(Peer-Review-Journal)

Nieß, Markus:
Generic approach to multiply universal functions.
In: Complex variables and elliptic equations. 53 (2008) 9. - S. 819-831.
ISSN 1747-6933
(Peer-Review-Journal)

Luh, Wolfgang ; Meyrath, Thierry ; Nieß, Markus:
Universal Meromorphic Approximation on Vitushkin Sets.
In: Journal of contemporary mathematical analysis. 43 (2008) 6. - S. 365-371.
ISSN 1068-3623
(Peer-Review-Journal)

Nieß, Markus:
MacLane functions with prescribed zeros and interpolation properties.
In: Analysis : international mathematical journal of analysis and its applications. 27 (2007) 2/3. - S. 323-332.
ISSN 0174-4747 ; 2196-6753
(Peer-Review-Journal)

Nieß, Markus:
On the zeros of T-universal functions.
In: Analysis : international mathematical journal of analysis and its applications. 26 (2007) 3. - S. 383-392.
ISSN 0174-4747 ; 2196-6753
(Peer-Review-Journal)

Gharibyan, Tatevik L. ; Luh, Wolfgang ; Nieß, Markus:
Birkhoff-functions that are bounded on prescribed sets.
In: Archiv der Mathematik. 86 (2006) 3. - S. 261-267.
ISSN 0003-889x ; 1420-8938
(Peer-Review-Journal)

Blatt, Hans-Peter:
The influence of poles on equioscillation in rational approximation.
In: Ukrainian mathematical journal. 58 (2006) 2. - S. 3-11.
ISSN 0041-5995
(Peer-Review-Journal)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Sign Changes in Rational L^1_w-approximation.
In: Ukrainian mathematical journal. 58 (2006) 1. - S. 283-287.
ISSN 0041-5995
(Peer-Review-Journal)

Nieß, Markus:
Entire functions with universal translates which are bounded on each line.
In: The journal of analysis. 13 (2005). - S. 31-40.
ISSN 0971-3611
(Peer-Review-Journal)

Blatt, Hans-Peter:
The interaction of alternation points and poles in rational approximation.
In: Journal of computational and applied mathematics. 179 (2005). - S. 31-46.
ISSN 0771-050x ; 0377-0427
(Peer-Review-Journal)

Götz, Mario:
Kumulativ.
2005
(Habilitation, 2005, Katholische Universität Eichstätt-Ingolstadt)

Nieß, Markus:
Universal entire functions with additional properties.
In: Journal of contemporary mathematical analysis. 40 (2005) 6. - S. 34-40.
ISSN 1068-3623
(Peer-Review-Journal)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Sequences with equi-distributed extreme points in uniform polynomial approximation.
In: Journal of approximation theory. 126 (2004). - S. 157-170.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Alternation Points in Rational Chebyshev Approximation.
In: Bojanov, Borislav D. (Hrsg.): Constructive Theory of Functions : Varna 2002 ; International Conference on Constructive Theory of Functions which took place in Varna on June 19 - 23, 2002. - Sofia : DARBA, 2003. - S. 213-218
ISBN 954-901266-2

Analytical and Approximate Methods : International Conference at the Kyrgyz-Russian-Slavic University Bishkek, Kyrgyzstan, September 23-24, 2002.
Hrsg.: Blatt, Hans-Peter ; Felix, Rainer ; Lelevkina, Liliya G. ; Sommer, Manfred
Aachen : Shaker, 2003. - XI, 233 S.
ISBN 3-8322-2147-6

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Discrepancy Estimates and Rational Chebyshev Approximation.
In: Bojanov, Borislav D. (Hrsg.): Constructive Theory of Functions : Varna 2002 ; International Conference on Constructive Theory of Functions which took place in Varna on June 19 - 23, 2002. - Sofia : DARBA, 2003. - S. 219-224
ISBN 954-901266-2
(Begutachteter Beitrag / peer-reviewed paper)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
Poles and alternation points in real rational Chebyshev Approximation.
In: Computational methods and function theory. 3 (2003). - S. 165-177.
ISSN 1617-9447 ; 2195-3724
(Peer-Review-Journal)

Hirschberger, Markus:
Struktur effizienter Punkte in Quadratischen Vektoroptimierungsproblemen.
Aachen : Shaker, 2003. - 137 S. - (Berichte aus der Mathematik)
ISBN 3-8322-1300-7
(Dissertation, 2002, Katholische Universität Eichstätt-Ingolstadt)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
Discrepancy of signed measures and polynomial approximation.
New York : Springer, 2002. - 438 S. - (Springer Monographs in Mathematics)
ISBN 0-387-98652-9

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
On L^p-discrepancy of signed measures.
In: Constructive approximation. 18 (2002). - S. 19-36.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
On sign changes in weighted polynomial approximation.
In: Acta mathematica Hungarica. 95 (2002). - S. 309-322.
ISSN 0001-5954 ; 0236-5294
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter ; Mhaskar, Hrushikesh N.:
A local discrepancy theorem.
In: Indagationes mathematicae / Koninklijke Nederlandse Akademie van Wetenschappen. 12 (2001) 1. - S. 23-39.
ISSN 0019-3577 ; 1872-6100
(Peer-Review-Journal)

Blatt, Hans-Peter:
Orthogonal polynomials, potential theory and discrepancy theorems.
In: Jain, Pawan K. (Hrsg.): Wavelets and Allied Topics. - Pangbourne : Alpha Science Int., 2001. - S. 291-327
ISBN 1-84265-076-9

Blatt, Hans-Peter ; Götz, Mario:
On the divergence phenomenon in Hermite-Fejér interpolation.
In: Journal of approximation theory. 106 (2000) 2. - S. 276-286.
ISSN 0021-9045
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter ; Götz, Mario:
Discrepancy estimates on the sphere.
In: Monatshefte für Mathematik. 128 (1999) 3. - S. 179-188.
ISSN 0026-9255 ; 1436-5081
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
Erdös-Turán type theorems on quasiconformal curves and arcs.
In: Journal of approximation theory. 97 (1999) 2. - S. 334-365.
ISSN 0021-9045
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
Local discrepancy theorems for the distributions of zeros of polynomials.
In: Priezzhev, V. B. (Hrsg.): Self-similar systems : Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. - Dubna : Joint Institute for Nuclear Research, 1999. - S. 282-288
ISBN 5-85165-525-9

Grothmann, René:
On the problem of Poreda.
In: Papamichael, Nicolas ; Ruscheweyh, Stephan ; Saff, Edward B. (Hrsg.): Computational Methods and Function Theory 1997 : Proceedings of the Third CMFT Conference, 13-17 October 1997, Nicosia, Cyprus. - Singapore : World Scientific, 1999. - S. 267-273. - (Series in approximations and decompositions ; 11)
ISBN 981-02-3626-3

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
On zeros of near-best approximants.
In: East journal on approximations. 5 (1999) 2. - S. 223-233.
ISSN 1310-6236
(Peer-Review-Journal)

Hüsing, Jörg:
Abschätzungen für die Diskrepanz von signierten Maßen durch deren Energienorm.
Aachen : Shaker, 1998. - II. 77 S. - (Berichte aus der Mathematik)
ISBN 3-8265-3578-2
(Dissertation, 1998, Katholische Universität Eichstätt-Ingolstadt)

Blatt, Hans-Peter ; Mhaskar, Hrushikesh N.:
Some discrepancy theorems in the theory of weighted polynomial approximation.
In: Journal of mathematical analysis and applications. 219 (1998) 2. - S. 312-330.
ISSN 0022-247x ; 1096-0813
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter ; Kovacheva, Ralitza K.:
Approximation of an unbounded interval.
In: Analysis : international mathematical journal of analysis and its applications. 17 (1997) 2/3. - S. 197-218.
ISSN 0174-4747 ; 2196-6753
(Peer-Review-Journal)

Blatt, Hans-Peter:
A discrepancy lemma for oscillating polynomials and sign changes of the error function of best approximants.
In: Annals of numerical mathematics : journal edition. 4 (1997) 1/4. - S. 55-66.
ISSN 1021-2655

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
A discrepancy theorem on quasiconformal curves.
In: Constructive approximation. 13 (1997) 3. - S. 363-379.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
Erdös-Turán-type theorems on piecewise smooth curves and arcs.
In: Journal of approximation theory. 88 (1997) 1. - S. 109-134.
ISSN 0021-9045
(Peer-Review-Journal)

Andrievskii, Vladimir V. ; Blatt, Hans-Peter:
On the distribution of zeros of polynomials on an analytic curve.
In: East journal on approximations. 3 (1997) 4. - S. 485-493.
ISSN 1310-6236
(Peer-Review-Journal)

Grothmann, René:
Distribution of Interpolation Points.
In: Arkiv för matematik. 34 (1996) 1. - S. 103-117.
ISSN 0004-2080
(Peer-Review-Journal)

Blatt, Hans-Peter ; Mhaskar, Hrushikesh N.:
A discrepancy theorem concerning polynomials of best approximation in $L^p_w [-1,1]$.
In: Monatshefte für Mathematik. 120 (1995) 2. - S. 91-103.
ISSN 0026-9255 ; 1436-5081
(Peer-Review-Journal)

Blatt, Hans-Peter:
The distribution of sign changes of the error function in best $L^p$-approximation.
In: Ali, Rosihan M. (Hrsg.): Computational methods and function theory 1994 : Proceedings of the conference, Penang, Malaysia, March 21-25, 1994. - Singapore : World Scientific Publishing Co., 1995. - S. 75-88. - (Series in Approximations and Decompositions ; 5)
ISBN 981-02-2129-0

Blatt, Hans-Peter:
On discrepancy theorems with applications to approximation theory.
In: Jakóbczak, Piotr (Hrsg.): Topics in complex analysis : Proceedings of the semester on complex analysis, held in autumn of 1992 at the International Banach Center in Warsaw, Poland. - Warschau : Institut of Mathematics, 1995. - S. 115-123. - (Banach Center publications ; 31)

Blatt, Hans-Peter ; Mhaskar, Hrushikesh N.:
A general discrepancy theorem.
In: Arkiv för matematik. 31 (1993) 2. - S. 219-246.
ISSN 0004-2080
(Peer-Review-Journal)

Grothmann, René:
Interpolation Points and Zeros of Polynomials in Approximation Theory.
1993
(Habilitation, 1993, Katholische Universität Eichstätt-Ingolstadt)

Grothmann, René ; Mhaskar, Hrushikesh N.:
Detection of Singularities using Segment Approximation.
In: Mathematics of computation. 59 (1992) 200.
ISSN 0025-5718
(Peer-Review-Journal)

Blatt, Hans-Peter:
On the distribution of simple zeros of polynomials.
In: Journal of approximation theory. 69 (1992) 3. - S. 250-268.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Verteilung der Nullstellen von Polynomen auf Jordanbögen.
In: Buchmann, Johannes ; Ganzinger, H. ; Paul, Wolfgang J. (Hrsg.): Informatik : Festschrift zum 60. Geburtstag von Günter Hotz. - Stuttgart : Teubner, 1992. - S. 55-67
ISBN 3-8154-2033-4

Blatt, Hans-Peter ; Grothmann, René:
Erdös-Turán theorems on a system of Jordan curves and arcs.
In: Constructive approximation. 7 (1991) 1. - S. 19-47.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Grothmann, René:
On the Zeros of Sequences of Polynomials.
In: Journal of approximation theory. 61 (Juni 1990) 3. - S. 351-359.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
On the distribution of the points of Chebyshev alternation with applications to strong unicity constants.
In: Acta mathematica Hungarica. 55 (1990) 1/2. - S. 75-82.
ISSN 0001-5954 ; 0236-5294
(Peer-Review-Journal)

Spagl, Christoph:
Charakterisierung und Numerik in der linearen komplexen Tschebyscheff-Approximation.
1989. - 119 S.
(Dissertation, 1989, Katholische Universität Eichstätt-Ingolstadt)

Borwein, Peter ; Kroó, András ; Grothmann, René ; Saff, Ed B.:
The Density of Alternation Points in Rational Approximation.
In: Proceedings of the American Mathematical Society. 105 (1989) 4. - S. 881-888.
ISSN 0002-9939 ; 1088-6826
(Peer-Review-Journal)

Blatt, Hans-Peter ; Saff, Ed B. ; Totik, Vilmos:
The distribution of extreme points in best complex polynomial approximation.
In: Constructive approximation. 5 (1989) 3. - S. 357-370.
ISSN 0176-4276 ; 1432-0940
(Peer-Review-Journal)

Grothmann, René:
A Note on Strong Uniqueness Constants.
In: Journal of approximation theory. 58 (1989) 3. - S. 358-360.
ISSN 0021-9045
(Peer-Review-Journal)

Grothmann, René:
Ostrowski Gaps, Overconvergence and Zeros of Polynomials.
In: Chui, Charles K. ; Schumaker, Larry L. ; Ward, Joseph D. (Hrsg.): Approximation theory VI : proceedings of the Sixth International Symposium on Approximation Theory, held at Texas A & M University on January 9-13,1989. Volume 1. - Boston : Academic Press, 1989. - S. 303-306
ISBN 0-12-174586-4
(Begutachteter Beitrag / peer-reviewed paper)

Gauthier, Paul M. ; Grothmann, René ; Hengartner, Walter:
Asymptotic Maximum Principles for Subharmonic and Plurisubharmonic Functions.
In: Canadian journal of mathematics. 40 (1988) 2. - S. 477-486.
ISSN 0008-414x
(Peer-Review-Journal)

Blatt, Hans-Peter ; Saff, Ed B. ; Simkani, Mehrdad:
Jentzsch-Szegö type theorems for the zeros of best approximants.
In: The journal of the London Mathematical Society. 38 (1988) 2. - S. 307-316.
ISSN 0024-6107
10.1112/jlms/s2-38.2.307
(Peer-Review-Journal)

Grothmann, René:
Local uniqueness in non-uniqueness spaces.
In: Approximation theory and its applications : ATA. 4 (1988) 4. - S. 35-39.
ISSN 1000-9221
(Peer-Review-Journal)

Blatt, Hans-Peter ; Lorentz, George G.:
On a theorem of Kadec.
In: Sendov, Blagovest Ch. (Hrsg.): Constructive Theory of Functions : proceedings of the International Conference on Constructive Theory of Functions ; Varna, May 24 - May 31, 1987. - Sofia : Publishing House of the Bulgarian Academy of Sciences, 1988. - S. 56-64

Grothmann, René ; Saff, Ed B.:
On the behavior of zeros and poles of best uniform polynomial and rational approximants.
In: Cuyt, Annie (Hrsg.): Nonlinear numerical methods and rational approximation. - Dordrecht : Reidel, 1988. - S. 57-75. - (Mathematics and its applications ; 43)
ISBN 90-277-2669-8
(Begutachteter Beitrag / peer-reviewed paper)

Grothmann, René:
On the Real CF-Method for Polynomial Approximation and Strong Unicity Constants.
In: Journal of approximation theory. 55 (1988) 1. - S. 86-103.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter ; Iserles, Arieh ; Saff, Ed B.:
Remarks on the behaviour of zeros of best approximating polynomials and rational functions.
In: Mason, John C. ; Cox, Maurice G. (Hrsg.): Algorithms for approximation : based on the proceedings of the IMA Conference on Algorithms for the Approximation of Functions and Data held at the Royal Military College of Science, Shrivenham, July 1985. - Oxford : Clarendon Pr., 1987. - S. 437-445
ISBN 0-198-53612-7

Blatt, Hans-Peter ; Saff, Ed B.:
Behavior of zeros of polynomials of near best approximation.
In: Journal of approximation theory. 46 (1986). - S. 323-344.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Lipschitz continuity and strong unicity in G. Freud's work.
In: Journal of approximation theory. 46 (1986). - S. 25-31.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Near circularity and zeros of the error function for Chebyshev approximation on a disk.
In: Approximation theory and its applications : ATA. 2 (1986) 1. - S. 65-80.
ISSN 1000-9221
(Peer-Review-Journal)

Grothmann, René:
Zur Größenordnung der starken Eindeutigkeitskonstanten von holomorphen Funktionen.
1986. - 114 S.
(Dissertation, 1986, Katholische Universität Eichstätt-Ingolstadt)

Blatt, Hans-Peter:
Characterization of strong unicity in semi-infinite optimization by chain of references.
In: Brosowski, Bruno (Hrsg.) : Parametric optimization and approximation : conference held at the Mathemat. Forschungsinst., Oberwolfach, Oct. 16 - 22, 1983. - Basel : Birkhäuser, 1985. - S. 36-46. - (Internationale Schriftenreihe Numerische Mathematik ; 72)
ISBN 3-7643-1671-3

Blatt, Hans-Peter ; Saff, Ed B.:
Distribution of zeros of polynomial sequences, especially best approximations.
In: Meinardus, Günter ; Nürnberger Günther (Hrsg.): Delay Equations, Approximation and Application : International Symposium at the University of Mannheim, October 8–11, 1984. - Basel u.a. : Birkhäuser, 1985. - S. 71-82
ISBN 3-7643-1733-7

Grothmann, René:
Optimal Recovery by Linear Functionals.
In: Journal of approximation theory. 44 (1985) 2. - S. 167-172.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Exchange algorithms, error estimations and strong unicity in convex programming and Chebyshev approximation.
In: Singh, Sankatha P. ; Burry, John H. ; Watson, B. (Hrsg.): Approximation Theory and Spline Functions : proceedings of the NATO Advanced Study Inst. on Approximation Theory and Spline Functions, St. John's, Newfoundland, Canada, Aug. 22 - Sept. 2, 1983. - Dordrecht [u.a] : Reidel, 1984. - S. 23-63. - (Series C: Mathematical and Physical Sciences ; 136)
ISBN 90-277-1818-0

Blatt, Hans-Peter:
On strong uniqueness in linear Chebyshev approximation.
In: Journal of approximation theory. 41 (1984). - S. 159-169.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter ; Kaiser, Uwe ; Ruffer-Beedgen, Beate:
A multiple exchange algorithm in convex programming.
In: Hiriart-Urruty, Jean-Baptiste ; Oettli, Werner ; Stoer, Josef (Hrsg.): Optimization : Theory and Algorithms. - New York u.a. : Dekker, 1983. - S. 113-130. - (Lecture notes in pure and applied mathematics ; 86)
ISBN 0-8247-7019-6

Blatt, Hans-Peter:
Near circularity of the error curve and zeros of the error function for Chebyshev approximation on a disk.
In: Chui, Charles K. ; Schumaker Larry L. ; Ward, Joseph D. (Hrsg.): Approximation Theory IV : proceedings of the International Symposium on Approximation Theory held at Texas A&M University, College Station, Texas, on January 10-14, 1983. - New York, NY : Academic Press, 1983. - S. 341-345
ISBN 0-12-174580-5

Blatt, Hans-Peter:
Strenge Eindeutigkeitskonstanten und Fehlerabschätzungen bei linearer Tschebyscheff-Approximation.
In: Collatz, Lothar ; Meinardus Günter ; Werner, Helmut (Hrsg.): Numerische Methoden der Approximationstheorie Bd. 6 : Workshop on Numerical Methods of Approximation Theory, Oberwolfach, January 18 - 24, 1981. - Basel : Birkhäuser, 1982. - S. 9-25. - (International Series of Numerical Mathematics ; 59)
ISBN 3-7643-1304-8

Blatt, Hans-Peter ; Nürnberger, Günther ; Sommer, Manfred:
A characterization of pointwise-Lipschitz-continuous selections for the metric projection.
In: Numerical functional analysis and optimization. 4 (1981). - S. 101-121.
ISSN 0163-0563
(Peer-Review-Journal)

Blatt, Hans-Peter:
Geometric convergence of Chebyshev rational approximations on $[0,\infty]$.
In: Sendov, Blagovest Ch. (Hrsg.): Konstruktivnaja teorija funkcij '77 : trudy Meždunarodnoj Konferencii po Konstruktivnoj Teorii Funkcij, Blagoevgrad, 30 maja - 6 ijunja 1977. - Sofia : Izdat. Bolgarskoj Akad. Nauk, 1980. - S. 245-247

Blatt, Hans-Peter:
Lipschitz-Stabilität von Optimierungs- und Approximationsaufgaben.
In: Collatz, Lothar ; Meinardus, Günter ; Werner, H. (Hrsg.): Numerische Methoden der Approximationstheorie Vol. 5., Excerpts of the Conference on Numerical Methods of Approximation Theory : March 18 - 24, 1979 at the Mathematical Research Institute Oberwolfach, Black Forest. - Basel : Birkhäuser, 1980. - (International Series of Numerical Mathematics ; 52)
ISBN 3-7643-1103-7

Blatt, Hans-Peter ; Braess, Dietrich:
Zur rationalen Approximation von $e^{-x}$ auf $[0,\infty]$.
In: Journal of approximation theory. 30 (1980). - S. 169-172.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
A general Remes algorithm in real or complex normed linear spaces.
In: Handscomb David C. (Hrsg.): Multivariate approximation : symposium held at the University of Durham from July 21 to July 30, 1977. - London [u.a.] : Academic Press, 1978. - S. 145-153
ISBN 0-12-323350-X

Blatt, Hans-Peter:
Ein hinreichendes Kriterium für geometrische Konvergenz rationaler Tschebyscheff-Approximationen auf $[0,\infty]$.
In: Journal of approximation theory. 23 (1978). - S. 229-241.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Zur Anzahl der Interpolationspunkte polynomialer Tschebyscheff- Approximationen im Einheitskreis.
In: Collatz Lothar ; Meinardus, Günter ; Werner, Helmut (Hrsg.): Numerische Methoden der Approximationstheorie. Band 4., Vortragsauszüge der Tagung über Numerische Methoden der Approximationstheorie vom 13. - 19. November 1977 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). - Basel : Birkhäuser, 1978. - S. 61-77. - (International series of numerical mathematics ; 42)
ISBN 3-7643-1025-1

Blatt, Hans-Peter ; Herzfeld, Ute ; Klotz, Volker:
Ein Approximationsproblem aus der Pharmakokinetik.
In: Journal of approximation theory. 21 (1977). - S. 89-106.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Rationale Tschebyscheff-Approximation über unbeschränkten Intervallen.
In: Numerische Mathematik. 27 (1977). - S. 179-190.
ISSN 0029-599x
(Peer-Review-Journal)

Blatt, Hans-Peter:
Ein Störungssatz zur rationalen Tschebyscheff-Approximation über $[0,\infty ]$.
In: Journal of approximation theory. 21 (1977). - S. 246-256.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Zur Stetigkeit rationaler T-Approximationen über unbeschränkten Intervallen.
In: Numerische Mathematik. 27 (1977). - S. 191-202.
ISSN 0029-599x
(Peer-Review-Journal)

Blatt, Hans-Peter:
Geometric convergence of rational functions to the reciprocal of exponential sums on $[0,\infty]$.
In: Law, Allan G. ; Sahney, Badri N. (Hrsg.): Theory of Approximation : with Applications ; proceedings of a conference conducted by the University of Calgary and the University of Regina, at the University of Calgary, Alberta, Canada, August 11 - 13, 1975. - New York : Academic Press, 1976. - S. 111-119
ISBN 0-12-438950-3

Blatt, Hans-Peter:
Rationale Approximierbarkeit singulärer Funktionen über $[0,\infty]$.
In: Schaback, Robert ; Scherer, Karl (Hrsg.): Approximation Theory : Proceedings Of An International Colloquium Held At Bonn, Germany, June 8-11, 1976. - Heidelberg : Springer, 1976. - S. 1-15. - (Lecture notes in mathematics ; 556)
ISBN 3-540-08001-5 ; 0-387-08001-5

Blatt, Hans-Peter:
Stetigkeitseigenschaften von Optimierungsaufgaben und lineare Tschebyscheff-Approximation.
In: Ciesielski, Zbigniew ; Musielak Julian (Hrsg.): Approximation Theory : proceedings of the Conference jointly organized by the Mathematical Institute of the Polish Academy of Sciences and the Institute of Mathematics of the Adam Mickiewicz University held in Poznan, 22 - 26 August, 1972. - Dordrecht : Reidel, 1975. - S. 33-48
ISBN 90-277-0483-X

Blatt, Hans-Peter:
Some remarks on an alternation theorem of Geiger.
In: Journal of approximation theory. 11 (1974). - S. 338-342.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Nicht-lineare gleichmäßige Simultanapproximation.
In: Journal of approximation theory. 8 (1973). - S. 210-248.
ISSN 0021-9045
(Peer-Review-Journal)

Blatt, Hans-Peter:
Über rationale Tschebyscheff-Approximation mehrerer Funktionen.
In: Journal of approximation theory. 9 (1973). - S. 126-148.
ISSN 0021-9045
(Peer-Review-Journal)