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- Vilmos Totik

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
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
7,710
157
World Ranking
1677
National Ranking
8

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

- 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.

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

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.

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

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

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.

- 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)

- 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.

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

Journal of Approximation Theory

(Impact Factor: 0.993)

Vanderbilt University

Keldysh Institute of Applied Mathematics

California Institute of Technology

Texas A&M University – Kingsville

University of Leeds

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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