World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
8648
World Ranking
2436
National Ranking
16

Vilmos Totik publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Vilmos Totik sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 225 publications — 70th percentile

70% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Vilmos Totik D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Vilmos Totik sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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