D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 33 Citations 7,710 157 World Ranking 1677 National Ranking 8

Research.com Recognitions

Awards & Achievements

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

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Real number
  • Algebra

Vilmos Totik mostly deals with Orthogonal polynomials, Mathematical analysis, Discrete mathematics, Combinatorics and Hahn polynomials. His studies deal with areas such as Weight function, Conformal map and Inverse as well as Orthogonal polynomials. His work on Interval, Christoffel symbols and Fourier series as part of general Mathematical analysis research is often related to Fourier analysis and Fourier inversion theorem, thus linking different fields of science.

His Discrete mathematics study combines topics from a wide range of disciplines, such as Harmonic, Monic polynomial, Order and Bernstein inequalities. His biological study spans a wide range of topics, including Numerical analysis and Weak convergence. Vilmos Totik combines subjects such as Jacobi polynomials, Discrete orthogonal polynomials and Wilson polynomials with his study of Hahn polynomials.

His most cited work include:

  • Logarithmic Potentials with External Fields (1091 citations)
  • Moduli of smoothness (786 citations)
  • General Orthogonal Polynomials (428 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Mathematical analysis, Combinatorics, Orthogonal polynomials, Pure mathematics and Discrete mathematics. The Mathematical analysis study combines topics in areas such as Inverse and Applied mathematics. His research in Applied mathematics focuses on subjects like Reciprocal polynomial, which are connected to Polynomial matrix.

His work carried out in the field of Combinatorics brings together such families of science as Numerical analysis, Order, Complex plane and Probability measure. His Orthogonal polynomials research incorporates elements of Zero, Measure and Chebyshev polynomials. His research in Discrete mathematics intersects with topics in Function, Converse and Compact space.

He most often published in these fields:

  • Mathematical analysis (39.65%)
  • Combinatorics (44.49%)
  • Orthogonal polynomials (33.48%)

What were the highlights of his more recent work (between 2011-2021)?

  • Pure mathematics (31.28%)
  • Combinatorics (44.49%)
  • Mathematical analysis (39.65%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Pure mathematics, Combinatorics, Mathematical analysis, Discrete mathematics and Measure. His Pure mathematics research is multidisciplinary, incorporating perspectives in Algebraic polynomial, Type, Markov chain, Potential theory and Chebyshev polynomials. His study involves Orthogonal polynomials and Disjoint sets, a branch of Combinatorics.

His Christoffel symbols, Upper and lower bounds and Extremal point study in the realm of Mathematical analysis interacts with subjects such as Maximum principle and Mean value. In Discrete mathematics, Vilmos Totik works on issues like Norm, which are connected to Meromorphic function and Simply connected space. His study looks at the intersection of Measure and topics like Polynomial with Lemniscate.

Between 2011 and 2021, his most popular works were:

  • Chebyshev Polynomials on Compact Sets (28 citations)
  • Chebyshev Polynomials on Compact Sets (28 citations)
  • Bernstein’s Inequality for Algebraic Polynomials on Circular Arcs (20 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Real number
  • Algebra

His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Combinatorics, Chebyshev polynomials and Upper and lower bounds. His work deals with themes such as Uniform convergence and Classical theorem, which intersect with Mathematical analysis. His studies in Pure mathematics integrate themes in fields like Logarithm, Probabilistic logic, Probability measure and Of the form.

His research on Combinatorics focuses in particular on Orthogonal polynomials. His study on Upper and lower bounds also encompasses disciplines like

  • Compact space, which have a strong connection to Measure,
  • Chebyshev filter which is related to area like Applied mathematics. Vilmos Totik focuses mostly in the field of Complex plane, narrowing it down to topics relating to Monic polynomial and, in certain cases, Discrete mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Logarithmic Potentials with External Fields

Edward B. Saff;Vilmos Totik.
(1997)

1735 Citations

Moduli of smoothness

Zeev Ditzian;V. Totik.
(1987)

1233 Citations

General Orthogonal Polynomials

Herbert Stahl;Vilmos Totik.
(1992)

670 Citations

Weighted Polynomial Inequalities with Doubling and A∞ Weights

Giuseppe Mastroianni;Vilmos Totik.
Constructive Approximation (2000)

166 Citations

Weighted Approximation with Varying Weight

Vilmos Totik.
(1994)

158 Citations

Polynomial inverse images and polynomial inequalities

Vilmos Totik;Vilmos Totik.
Acta Mathematica (2001)

156 Citations

Asymptotics for Christoffel functions for general measures on the real line

Vilmos Totik.
Journal D Analyse Mathematique (2000)

137 Citations

Szegö’s extremum problem on the unit circle

Attila Máté;Paul Nevai;Vilmos Totik.
Annals of Mathematics (1991)

132 Citations

Extensions of Szegö's theory of orthogonal polynomials

Attila Máté;Paul Nevai;Vilmos Totik.
Constructive Approximation (1987)

123 Citations

Strong and weak convergence of orthogonal polynomials

Atilla Mate;Paul Nevai;Vilmos Totik.
American Journal of Mathematics (1987)

116 Citations

Editorial Boards

Journal of Approximation Theory
(Impact Factor: 0.993)

Best Scientists Citing Vilmos Totik

Arno B. J. Kuijlaars

Arno B. J. Kuijlaars

KU Leuven

Publications: 84

Edward B. Saff

Edward B. Saff

Vanderbilt University

Publications: 76

Barry Simon

Barry Simon

California Institute of Technology

Publications: 46

Andrei Martínez-Finkelshtein

Andrei Martínez-Finkelshtein

Baylor University

Publications: 38

Sylvia Serfaty

Sylvia Serfaty

Courant Institute of Mathematical Sciences

Publications: 32

Mihai Putinar

Mihai Putinar

University of California, Santa Barbara

Publications: 28

Francisco Marcellán

Francisco Marcellán

Carlos III University of Madrid

Publications: 23

Yuan Xu

Yuan Xu

University of Oregon

Publications: 22

Hrushikesh N. Mhaskar

Hrushikesh N. Mhaskar

Claremont Graduate University

Publications: 22

Alexander Ivanovich Aptekarev

Alexander Ivanovich Aptekarev

Keldysh Institute of Applied Mathematics

Publications: 20

Jeffrey S. Geronimo

Jeffrey S. Geronimo

Georgia Institute of Technology

Publications: 17

Marco Bertola

Marco Bertola

International School for Advanced Studies

Publications: 16

Leah Epstein

Leah Epstein

University of Haifa

Publications: 16

Mourad E. H. Ismail

Mourad E. H. Ismail

University of Central Florida

Publications: 15

Mohammad Mursaleen

Mohammad Mursaleen

Aligarh Muslim University

Publications: 15

Fumio Hiai

Fumio Hiai

Tohoku University

Publications: 14

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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