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Mathematics

D-Index
37
Citations
8648
World Ranking
2435
National Ranking
16

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to classical analysis and approximation theory and for exposition.

Overview

Vilmos Totik is affiliated with the University of Szeged in Hungary and focuses on research within the field of Mathematics, particularly in Applied Mathematics. Their work spans several subfields including Mathematical Physics, Geometry and Topology, Statistics and Probability, and Statistical and Nonlinear Physics.

Their primary research topics include mathematical functions and polynomials, mathematical analysis and transform methods, approximation theory and sequence spaces, advanced numerical analysis techniques, advanced mathematical theories, advanced differential equations and dynamical systems, and broader mathematics and applications.

Totik has published multiple papers in peer-reviewed venues. Notable recent papers include:

  • "The gamma operators in L^p spaces," 2022, Publicationes Mathematicae Debrecen
  • "Polynomial approximation in several variables," 2020, Journal of Approximation Theory
  • "The Lebesgue constants for Leja points are subexponential," 2023, Journal of Approximation Theory
  • "Critical points of polynomials," 2021, Acta Mathematica Academiae Scientiarum Hungaricae
  • "Multiplicity of zeros of polynomials," 2021, Journal of Approximation Theory

The scientist has frequently collaborated with other researchers such as Edward B. Saff, Sergei Kalmykov, and Béla Nagy.

Key publication venues where Totik's work appears include the Journal of Approximation Theory, Publicationes Mathematicae Debrecen, Journal d'Analyse Mathématique, arXiv (Cornell University), and Acta Mathematica Academiae Scientiarum Hungaricae.

Totik is also the author of the book Logarithmic Potentials with External Fields, published by Springer Nature in 2024.

In recognition of contributions to classical analysis and approximation theory, Totik received the title of Fellow of the American Mathematical Society in 2016.

Best Publications

  • Logarithmic Potentials with External Fields

    Edward B. Saff;Vilmos Totik

  • Moduli of smoothness

    Zeev Ditzian;V. Totik

  • General Orthogonal Polynomials

    Herbert Stahl;Vilmos Totik

  • Weighted Polynomial Inequalities with Doubling and A∞ Weights

    Giuseppe Mastroianni;Vilmos Totik

  • Weighted Approximation with Varying Weight

    Vilmos Totik

  • Polynomial inverse images and polynomial inequalities

    Vilmos Totik;Vilmos Totik

  • Asymptotics for Christoffel functions for general measures on the real line

    Vilmos Totik

  • Szegö’s extremum problem on the unit circle

    Attila Máté;Paul Nevai;Vilmos Totik

  • APPROXIMATION BY BERNSTEIN POLYNOMIALS

    Vilmos Totik

  • Extensions of Szegö's theory of orthogonal polynomials

    Attila Máté;Paul Nevai;Vilmos Totik

  • Strong and weak convergence of orthogonal polynomials

    Atilla Mate;Paul Nevai;Vilmos Totik

  • Universality and fine zero spacing on general sets

    Vilmos Totik;Vilmos Totik

  • Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle

    Attila Máté;Paul Nevai;Vilmos Totik

  • Uniform approximation by Szász—Mirakjan type operators

    V. Totik

  • Fast decreasing polynomials

    K. G. Ivanov;V. Totik

  • ON THE STRONG APPROXIMATION OF FOURIER SERIES

    V. Totik

  • On the strong law of large numbers for pairwise independent random variables

    S. Csörgő;K. Tandori;V. Totik

  • Online algorithms for a dual version of bin packing

    J. Csirik;V. Totik

  • Metric properties of harmonic measures

    Vilmos Totik

  • Weighted polynomial inequalities

    Paul Nevai;Vilmos Totik

  • Extensions of Szegö's theory of orthogonal polynomials, II

    Unknown

Frequent Co-Authors

Edward B. Saff
Edward B. Saff Vanderbilt University
Paul Nevai
Paul Nevai The Ohio State University
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Barry Simon
Barry Simon California Institute of Technology
János Csirik
János Csirik University of Szeged
Jonathan R. Partington
Jonathan R. Partington University of Leeds
Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology

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