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Mathematics

D-Index
44
Citations
11017
World Ranking
1553
National Ranking
91

Overview

Paul L. Butzer is affiliated with RWTH Aachen University in Germany. Their research spans the fields of Mathematics and Computer Science, focusing particularly on several subfields including Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Statistics and Probability, and Algebra and Number Theory.

The scientist's work is centered on a range of topics, notably:

  • Mathematical functions and polynomials
  • Approximation Theory and Sequence Spaces
  • Mathematical Analysis and Transform Methods
  • Matrix Theory and Algorithms
  • Mathematical and Theoretical Analysis
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems

Paul L. Butzer has contributed to various research papers, including:

  • Integration of polar-analytic functions and applications to Boas' differentiation formula and Bernstein's inequality in Mellin setting (2020), published in Bollettino dell Unione Matematica Italiana
  • Valiron's Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions (2020), published in Computational Methods and Function Theory
  • Polar-Analytic Functions: Old and New Results, Applications (2022), published in Results in Mathematics
  • A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife (2022), published in Sampling Theory Signal Processing and Data Analysis
  • A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe (2020), published in Journal of Approximation Theory

Their frequent co-authors include:

  • R. L. Stens
  • Carlo Bardaro
  • Ilaria Mantellını
  • Gerhard Schmeißer
  • Franz Pichler

Paul L. Butzer's work is often published in several recurring venues, such as:

  • Sampling Theory Signal Processing and Data Analysis
  • Journal of Approximation Theory
  • Bollettino dell Unione Matematica Italiana
  • Computational Methods and Function Theory
  • Results in Mathematics

Best Publications

  • Semi-groups of operators and approximation

    Paul Leo Butzer;Hubert Berens

  • Fourier analysis and approximation

    Paul Leo Butzer;Rolf J. Nessel

  • An Introduction to Fractional Calculus

    P. L. Butzer;U. Westphal

  • Sampling theory for not necessarily band-limited functions: a historical overview

    P. L. Butzer;R. L. Stens

  • Fractional calculus in the Mellin setting and Hadamard-type fractional integrals

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • Compositions of Hadamard-type fractional integration operators and the semigroup property

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • A direct approach to the mellin transform

    Paul L. Butzer;Stefan Jansche

  • Mellin transform analysis and integration by parts for Hadamard-type fractional integrals

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • A Bernstein-type operator approximating continuous functions on the semi-axis

    G. Bleimann;P.L. Butzer;L. Hahn

  • Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces

    C. Bardaro;G. Vinti;P. L. Butzer;R. L. Stens

  • Walsh-fourier series and the concept of a derivative †

    P. L. Butzer;H.J. Wagner

  • Linear Combinations of Bernstein Polynomials

    P. L. Butzer

  • Approximation of continuous and discontinuous functions by generalized sampling series

    P. L. Butzer;S. Ries;R. L. Stens

  • Best trigonometric approximation, fractional order derivatives and Lipschitz classes

    P. L. Butzer;H. Dyckhoff;E. Görlich;R. L. Stens

  • Linear Prediction by Samples from the Past

    P. L. Butzer;R. L. Stens

  • An Introduction to Sampling Analysis

    P. L. Butzer;G. Schmeisser;R. L. Stens

  • Central factorial numbers; their main properties and some applications.

    Unknown

  • On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems

    Ahmed I. Zayed;Guido Hinsen;Paul L. Butzer

  • A sampling theorem for duration-limited functions with error estimates

    P. L. Butzer;Wolfgang Splettstösser

  • Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals

    C. Bardaro;P. L. Butzer;R. L. Stens;G. Vinti

  • Classical and approximate sampling theorems: studies in the L P (R) and the uniform norm

    P. L. Butzer;J. R. Higgins;R. L. Stens

Frequent Co-Authors

Anatoly A. Kilbas
Anatoly A. Kilbas Belarusian State University
Gianluca Vinti
Gianluca Vinti University of Perugia
Tom H. Koornwinder
Tom H. Koornwinder University of Amsterdam
James Serrin
James Serrin University of Minnesota
Hari M. Srivastava
Hari M. Srivastava University of Victoria
Olof B. Widlund
Olof B. Widlund Courant Institute of Mathematical Sciences
Patrizia Pucci
Patrizia Pucci University of Perugia
John R. Rice
John R. Rice Purdue University West Lafayette
Lutz Volkmann
Lutz Volkmann RWTH Aachen University
Karl W. Butzer
Karl W. Butzer The University of Texas at Austin

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