Vilmos Totik
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Hungarian mathematician
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Vilmos Totikmathematics Degrees
Mathematics
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#3513
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Real Analysis
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#14
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Measure Theory
#851
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#1119
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Mathematics
Vilmos Totik's Degrees
- PhD Mathematics Eötvös Loránd University
Why Is Vilmos Totik Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vilmos Totik is a Hungarian mathematician, working in classical analysis, harmonic analysis, orthogonal polynomials, approximation theory, potential theory. He is a professor of the University of Szeged. Since 1989 he is also a part-time professor at the University of South Florida .
Vilmos Totik's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Orthogonal Polynomials (2005) (6970)
- Logarithmic Potentials with External Fields (1997) (1552)
- Moduli of smoothness (1987) (1118)
- General Orthogonal Polynomials (1992) (284)
- Weighted Polynomial Inequalities with Doubling and A∞ Weights (2000) (154)
- Szegö’s extremum problem on the unit circle (1991) (129)
- Asymptotics for Christoffel functions for general measures on the real line (2000) (125)
- Polynomial inverse images and polynomial inequalities (2001) (116)
- Weighted Approximation with Varying Weight (1994) (116)
- Universality and fine zero spacing on general sets (2009) (103)
- Strong and weak convergence of orthogonal polynomials (1987) (96)
- APPROXIMATION BY BERNSTEIN POLYNOMIALS (1994) (95)
- Extensions of Szegö's theory of orthogonal polynomials (1987) (80)
- Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle (1985) (79)
- Problems And Theorems In Classical Set Theory (2006) (69)
- Online algorithms for a dual version of bin packing (1988) (64)
- Uniform approximation by Szász—Mirakjan type operators (1983) (62)
- On the strong law of large numbers for pairwise independent random variables (1983) (58)
- Christoffel functions on curves and domains (2009) (55)
- Fast decreasing polynomials (1990) (55)
- Notes on Fourier series: Strong approximation (1985) (54)
- An interpolation theorem and its applications to positive operators. (1984) (51)
- A NECESSARY AND SUFFICIENT CONDITION FOR THE ASYMPTOTIC STABILITY OF THE DAMPED OSCILLATOR (1995) (51)
- Asymptotic stability of the equilibrium of the damped oscillator (1993) (50)
- Weighted polynomial inequalities (1986) (48)
- Extensions of Szegö's theory of orthogonal polynomials, II (1987) (46)
- Remarks on Besov spaces and best polynomial approximation (1988) (46)
- Best Approximation and Moduli of Smoothness for Doubling Weights (2001) (45)
- Metric Properties Of Harmonic Measures (2006) (44)
- Asymptotics for orthogonal polynomials defined by a recurrence relation (1985) (43)
- Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials (1986) (43)
- Chebyshev constants and the inheritance problem (2009) (43)
- Polynomial Approximation of Piecewise Analytic Functions (1989) (42)
- Uniform approximation by Baskakov and Meyer-König and Zeller operators (1983) (40)
- On the strong approximation of Fourier series (1980) (39)
- Lebesgue constants for Leja points (2010) (39)
- Chebyshev Polynomials on Compact Sets (2014) (35)
- Approximation by Szász-Mirakjan-Kantorovich operators inLp (p>1) (1983) (35)
- Uniform approximation by positive operators on infinite intervals (1984) (34)
- Orthogonal polynomials: their growth relative to their sums (1991) (31)
- Saturation of the Shepard operators (1990) (30)
- Ultrafilters (2008) (30)
- Distribution of simple zeros of polynomials (1993) (30)
- Sharpening of Hilbert’s lemniscate theorem (2005) (29)
- Asymptotics for the Zeros of Orthogonal Polynomials associated with Infinite Intervals (1986) (28)
- Uniform approximation by Bernstein-type operators (1984) (25)
- Problems and solutions concerning Kantorovich operators (1983) (25)
- What parts of a measure’s support attract zeros of the corresponding orthogonal polynomials? (1992) (25)
- Bernstein’s Inequality for Algebraic Polynomials on Circular Arcs (2013) (24)
- Chebyshev and fast decreasing polynomials (2015) (24)
- The Polynomial Inverse Image Method (2012) (24)
- Limits of zeros of orthogonal polynomials on the circle (2004) (24)
- Best weighted polynomial approximation via Jacobi expansions (1994) (23)
- Orthogonal polynomials with ratio asymptotics (1992) (22)
- Asymptotics of Christoffel functions on arcs and curves (2014) (21)
- K -functionals and weighted moduli of smoothness (1990) (21)
- The distribution of extreme points in best complex polynomial approximation (1989) (21)
- Approximation by Meyer-König and Zeller type operators (1983) (21)
- Behavior of polynomials of best uniform approximation (1989) (20)
- T. Ransford,Potential Theory in the Complex Plane (1996) (20)
- Chebyshev polynomials on a system of curves (2012) (20)
- Bivariate segment approximation and free knot splines: Research problems 96-4 (1996) (20)
- Asymptotics for Christoffel Functions with Varying Weights (2000) (20)
- The Gauss–Lucas theorem in an asymptotic sense (2016) (19)
- Saturation for Bernstein type rational functions (1984) (19)
- Zero distributions via orthogonality (2005) (19)
- Universality Under Szegő’s Condition (2016) (18)
- Approximation of continuous functions by -means of Fourier series (1990) (18)
- Sharp Nikolskii inequalities with exponential weights (1987) (18)
- Uniform Spacing of Zeros of Orthogonal Polynomials (2010) (18)
- Strong converse inequalities (1994) (17)
- On approximation of continuous functions in Lipschitz norms (1985) (17)
- Convexity of Harmonic Densities (2012) (17)
- Polynomial Approximation on Polytopes (2014) (16)
- Sharp converse theorem ofLp-polynomial approximation (1988) (16)
- Asymptotics for the greatest zeros of orthogonal polynomials (1986) (16)
- Bernstein- and Markov-type inequalities for rational functions (2016) (15)
- Trigonometric series with a generalized monotonicity condition (2014) (15)
- Bernstein-type inequalities (2012) (15)
- What is beyond Szegö's theory of orthogonal polynomials? (1984) (14)
- Polynomial approximation with exponential weights (1987) (13)
- Christoffel functions with power type weights (2015) (13)
- On the strong approximation by the (C, α)-means of Fourier series. I (1980) (13)
- K functionals and best polynomial approximation in weighted L p (R) (1986) (13)
- Modified logarithmic potential theory and applications (2015) (13)
- Recovery of H p -Functions (1984) (13)
- Approximation by polynomials with locally geometric rates (1989) (12)
- Denisov's theorem on recurrence coefficients (2004) (12)
- Extensions of Szegö's theory of orthogonal polynomials, III (1987) (12)
- The norm of minimal polynomials on several intervals (2011) (11)
- Orthogonal Polynomials for Area-Type Measures and Image Recovery (2014) (11)
- Orthogonal Polynomials: From Jacobi to Simon (2007) (11)
- Compression of quasianalytic spectral sets of cyclic contractions (2012) (10)
- On a conjecture of Widom (2014) (10)
- Polynomial approximation on the boundary and strictly inside (1994) (10)
- Fast decreasing polynomials via potentials (1994) (10)
- Uniform approximation by exponential-type operators (1988) (9)
- Bernstein- and Markov-Type Inequalities for Trigonometric Polynomials on General Sets (2014) (9)
- Approximation by homogeneous polynomials (2013) (9)
- Weighted Polynomial Approximation for Convex External Fields (2000) (9)
- Weighted Polynomial Approximation of Analytic Functions (1988) (9)
- Non-symmetric fast decreasing polynomials and applications (2012) (9)
- Approximation by convolution operators (1982) (8)
- Smooth equilibrium measures and approximation (2007) (8)
- On the strong approximation by the (C, α)-means of Fourier series. II (1980) (8)
- Nth Root Root Asymptotic Behavior of Orthonormal Polynomials (1990) (8)
- Twisted difference operators and perturbed Chebyshev polynomials (1988) (8)
- L P ( ρ > 1)-APPROXIMATION BY KANTOROVICH POLYNOMIALS (1983) (8)
- Weighted polynomial approximation with Freud weights (1994) (8)
- Asymptotically Sharp Markov and Schur Inequalities on General Sets (2014) (8)
- On the modulus of continuity in connection with a problem of J. Szabados concerning strong approximation (1978) (8)
- A Tale of Two Integrals (1999) (7)
- Orthogonal polynomials with respect to varying weights (1998) (7)
- Quantitative results in the theory of overconvergence of complex interpolating polynomials (1986) (7)
- Some properties of a new kind of modulus of smoothness (1984) (7)
- Polynomial approximation in several variables (2020) (7)
- The Necessity of a New Kind of Modulus of Smoothness (1984) (6)
- Riesz-type inequalities on general sets (2014) (6)
- Local asymptotic distribution of zeros of orthogonal polynomials (1994) (6)
- Szegő’s problem on curves (2013) (5)
- Weighted Polynomial Approximation for Weights with Slowly Varying Extremal Density (1999) (5)
- Christoffel Functions for Weights with Jumps (2015) (5)
- Sets with Interior Extremal Points for the Markoff Inequality (2001) (5)
- Limitations of the Carathe´odory-Feje´r method for polynomial approximation (1989) (4)
- Oscillatory behavior of orthogonal polynomials (1986) (4)
- On the convergence of series of pairwise independent random variables (1985) (4)
- Lemniscate growth (2013) (4)
- Quantile Constructions for Khinchin's and Pruitt's Theorems and for Doeblin's Universal Laws (1993) (3)
- Andrei Aleksandrovich Gonchar (on his 80th birthday) (2011) (3)
- Sharp constants in asymptotic higher order Markov inequalities (2017) (3)
- Distribution of critical points of polynomials (2019) (3)
- Weighted Best Polynomial Approximation (1987) (3)
- Approximation on Compact Subsets of R (2002) (3)
- Polynomials with zeros and small norm on curves (2012) (3)
- Sharp constants in weighted $L^2$-Markov inequalities (2017) (3)
- Weighted Moduli of Smoothness (1987) (2)
- Recovery of ^{}-functions (1984) (2)
- Chebyshev polynomials on a systems of curves (2013) (2)
- Solution to two problems in inverse interpolation (1990) (2)
- On the Behavior of Zeros of Polynomials of Best and Near-Best Approximation (1991) (2)
- The Mean-Value Property (2015) (2)
- Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures (2018) (2)
- One-Sided L1 -Approximation (1986) (2)
- A Convexity Property of Discrete Random Walks (2016) (2)
- In memoriam: Herbert Stahl August 3, 1942-April 22, 2013 (2014) (2)
- Critical points of polynomials (2021) (2)
- Derivatives of entire functions of higher order (1991) (2)
- Density of bivariate homogeneous polynomials on non-convex curves (2018) (2)
- Some problems of A. Kroó on multiple Chebyshev polynomials (2014) (2)
- Zeros of Chebyshev polynomials associated with a compact set in the plane (1990) (2)
- DISCREPANCY OF SIGNED MEASURES AND POLYNOMIAL APPROXIMATION (Springer Monographs in Mathematics) By V LADIMIR V. A NDRIEVSKII and H ANS -P ETER B LATT : 438 pp., £59.50 (US$79.95), ISBN 0-387-98652-9 (Springer, New York, 2002). (2003) (1)
- A quantitative Gauss–Lucas theorem (2022) (1)
- Franz Peherstorfer July 26, 1950-November 27, 2009 (2011) (1)
- Saturation of Kantorovich type operators (1985) (1)
- Comparison of “uniform” and “almost everywhere” summability properties (1982) (1)
- General Orthogonal Polynomials: Localization (1992) (1)
- A Note on Rational $$L^p$$Lp Approximation on Jordan Curves (2013) (1)
- Asymptotic Markov inequality on Jordan arcs (2017) (1)
- The Averaged Moduli of Smoothness: With Applications in Numerical Methods and Approximation (Blagovest Sendov and Vasil A. Popov) (1991) (1)
- Equilibrium Measures and Polynomials (2005) (1)
- Convex Polygons and Common Transversals (2015) (1)
- On a problem of B. Mityagin (2017) (0)
- Book reviews (1991) (0)
- Domains of unicity (2020) (0)
- Strong Approximation and the Behaviour of Fourier Series (1981) (0)
- General Orthogonal Polynomials: Preface (1992) (0)
- Sharp constants in asymptotic higher order Markov inequalities (2017) (0)
- The Mean-Value Property (2015) (0)
- A One‐Circle‐Theorem of Offbeat Integral Geometry (1984) (0)
- Exponential-Type or Bernstein-Type Operators (1987) (0)
- The gammaoperators in $L^p$ spaces (2022) (0)
- Modified logarithmic potential theory and applications (2015) (0)
- On the strong summation of Fourier series with variable exponents (1979) (0)
- Reflections on a theorem of V. Andrievskii (2022) (0)
- THESES OF Ph. D. DISSERTATION ZEROS OF ORTHOGONAL POLYNOMIALS AND CHRISTOFFEL FUNCTIONS (2013) (0)
- Summability in the classes Hω (1983) (0)
- Bernstein- and Markov-type inequalities. (2021) (0)
- Bernstein’s Inequality for Algebraic Polynomials on Circular Arcs (2012) (0)
- Notes on Fourier series in homogeneous Banach spaces (1982) (0)
- Applications Concerning Orthogonal Polynomials (1997) (0)
- R. A. Lorentz, Ed.,George G. Lorentz (1998) (0)
- Counterexample to a Problem on Tensor Product Approximation (1998) (0)
- Algebraic Polynomial Approximation (1987) (0)
- On Problem 57 of the Scottish Book (2019) (0)
- The order of $$L^1$$-approximation by elements of the disc algebra (2021) (0)
- Pointwise convergence of multiple Fourier series using different convergence notions (1986) (0)
- Recovery of Measures, Green Functions and Balayage (1997) (0)
- WITHDRAWN: Some problems of A. Kroó on multiple Chebyshev polynomials (2013) (0)
- K-Functionals and Moduli of Smoothness, Other Forms (1987) (0)
- Approximation with general weights (1994) (0)
- New Results - Comportement asymptotique de pôles (2002) (0)
- Determination of the Extremal Measure (1997) (0)
- Christoffel function asymptotics and universality for szego weights in the complex plane (2009) (0)
- Editorial (1998) (0)
- Lemniscate growth (2012) (0)
- A converse to a theorem of Salem and Zygmund (2016) (0)
- Remarks on the convergence of orthogonal series (2022) (0)
- A conjecture of Gy. Petruska (1990) (0)
- On normality of orthogonal polynomials (2012) (0)
- A sharp Lp-Bernstein inequality on finitely many intervals (2013) (0)
- On the continuity of functions in connection with a problem of V. G. Krotov (1981) (0)
- Domains of unicity (2020) (0)
- General Orthogonal Polynomials: Zero Distribution of Orthogonal Polynomials (1992) (0)
- Coefficient estimates on general compact sets (2020) (0)
- A sharp L p -Bernstein inequality on (cid:12)nitely many intervals ∗ (2013) (0)
- NOTE ON A RESULT OF K. TANDORI (1983) (0)
- Remarks on a functional equation ∗ (2015) (0)
- Oscillatory behavior of orthogonal polynomials (2019) (0)
- Convergence of Harmonic Measures and Capacities (2023) (0)
- Orthogonal polynomials with respect to varying weights 1 (1998) (0)
- On a polynomial inequality of Tura´n (1990) (0)
- General Orthogonal Polynomials: Upper and Lower Bounds (1992) (0)
- Chebyshev Polynomials on Compact Sets (2013) (0)
- Multiplicity of zeros of polynomials (2021) (0)
- Regular behavior of orthogonal polynomials and its localization (1991) (0)
- Comparisons and conclusions (2003) (0)
- On Problem 57 of the Scottish Book (2019) (0)
- A subharmonicity property of harmonic measures (2015) (0)
- Editorial (2016) (0)
- Weighted Polynomial Approximation in L p (R) (1987) (0)
- The size of irregular points for a measure (2011) (0)
- Polynomials close to 0 resp. 1 on disjoint sets (2020) (0)
- C A ] 2 9 O ct 2 01 5 Modified logarithmic potential theory and applications (0)
- Barry Simon and the János Bolyai International Mathematical Prize (2016) (0)
- Christoffel Functions for Weights with Jumps (2014) (0)
- Asymptotically Sharp Markov and Schur Inequalities on General Sets (2014) (0)
- More General Step-Weight Functions ϕ (1987) (0)
- Barry Simon and the János Bolyai International Mathematical Prize (2016) (0)
- On the divergence of Fourier series (2022) (0)
- Properties of ω ϕ r ( f,t ) p (1987) (0)
- Erdős on Polynomials (2013) (0)
- Title APPROXIMATION PROCESSES OF FRACTIONAL INTERPOLATION TYPE OPERATORS (2017) (0)
- Fast decreasing and orthogonal polynomials Vilmos Totik (2013) (0)
- Chebyshev polynomials on a system of curves (2012) (0)
- The size of irregular points for a measure (2012) (0)
- Fast decreasing and orthogonal polynomials Vilmos Totik (2013) (0)
- The K-Functional and the Modulus of Continuity (1987) (0)
- Sharpness of Timan's converse result for polynomial approximation (1991) (0)
- Weighted Approximations by Exponential-Type Operators (1987) (0)
- Weyl’s Uniform Distribution Under Periodic Perturbation (2022) (0)
- Extremal Point Methods (1997) (0)
- Trigonometric series with a generalized monotonicity condition (2014) (0)
- The Beckman–Quarles theorem via the triangle inequality (2021) (0)
- Weights on the Real Line (1997) (0)
- The Lebesgue constants for Leja points are subexponential (2023) (0)
- Scientific Foundations - Identification et déconvolution (2002) (0)
- On the size of products of distances from prescribed points (1996) (0)
- Book reviews (1992) (0)
- General Orthogonal Polynomials: Regularity Criteria (1992) (0)
- Editorial (2015) (0)
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