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## Totik, Vilmos

Compute Distance To:
 Author ID: totik.vilmos Published as: Totik, Vilmos; Totik, V.; Totík, Vilmos; Totík, V. Homepage: http://math.usf.edu/faculty/totik/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 237 Publications since 1977, including 9 Books Reviewing Activity: 30 Reviews
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#### Co-Authors

 126 single-authored 27 Nevai, Paul G. 13 Máté, Attila 12 Saff, Edward Barry 6 Ditzian, Zeev 6 Mastroianni, Giuseppe 5 Lubinsky, Doron S. 5 Nagy, Béla 5 Stahl, Herbert Robert 4 Csörgő, Sándor 4 Kashin, Boris Sergeevich 4 Suetin, Sergeĭ Pavlovich 3 Ivanov, Kamen G. 3 Tandori, Károly 3 Varga, Tamas 3 Varjú, Péter Pál 2 Aptekarev, Alexander Ivanovich 2 Baratchart, Laurent 2 Benko, David 2 Hatvani, László 2 Kalmykov, Sergeĭ Ivanovich 2 Komjáth, Péter 2 Kroó, András 2 Leindler, László 2 Levenberg, Norman jun. 2 Mazhar, Syed Mohammad 2 Móricz, Ferenc 2 Stylianopoulos, Nikos S. 1 Blatt, Hans-Peter 1 Bloom, Thomas 1 Bos, Len P. 1 Brudnyi, Alexander 1 Carleson, Lennart 1 Csirik, János A. 1 Danielyan, Arthur A. 1 Danka, Tivadar 1 Daróczy, Zoltán 1 Della Vecchia, Biancamaria 1 Dragnev, Peter D. 1 Erdős, Pál 1 Feng, Lei 1 Golinskii, Leonid Borisovich 1 Hajnal, Péter 1 Kérchy, László 1 Kincses, János 1 Krisztin, Tibor 1 Küstner, Reinhold 1 López Lagomasino, Guillermo Tomás 1 Lundberg, Erik 1 Mantica, Giorgio 1 Martínez-Finkelshtein, Andrei 1 Meir, Amram 1 Mhaskar, Hrushikesh N. 1 Nagy, Gábor V. 1 Pinkus, Allan M. 1 Pritsker, Igor E. 1 Putinar, Mihai 1 Révész, Szilárd György 1 Shirokov, Nikolaĭ Alekseevich 1 Simon, Barry 1 Szabados, Jozsef 1 Szabó, László Imre 1 Taylor, Rodney 1 Toókos, Ferenc 1 Ullman, Joseph L. 1 Vértesi, Péter 1 Vincze, István 1 Wielonsky, Franck 1 Xu, Yuan 1 Yuditskii, Peter Meerovich 1 Zhang, John Z. H. 1 Zhou, Songping
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#### Serials

 32 Journal of Approximation Theory 20 Acta Scientiarum Mathematicarum 18 Constructive Approximation 11 Analysis Mathematica 11 Acta Mathematica Hungarica 10 Proceedings of the American Mathematical Society 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Analysis and Applications 4 Journal of the London Mathematical Society. Second Series 4 Publicationes Mathematicae 4 Transactions of the American Mathematical Society 4 SIAM Journal on Mathematical Analysis 3 American Mathematical Monthly 3 Acta Mathematica 3 American Journal of Mathematics 3 Studia Scientiarum Mathematicarum Hungarica 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Periodica Mathematica Hungarica 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Memoirs of the American Mathematical Society 2 Advances in Applied Mathematics 2 IMRN. International Mathematics Research Notices 2 Sbornik: Mathematics 2 Encyclopedia of Mathematics and Its Applications 1 Discrete Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Matematicheskie Zametki 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 The Australian Mathematical Society Gazette 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Indagationes Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Matematikai Lapok 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Zeitschrift für Analysis und ihre Anwendungen 1 Analysis 1 Approximation Theory and its Applications 1 Revista Matemática Iberoamericana 1 Mathematica Balkanica. New Series 1 Differential and Integral Equations 1 Aequationes Mathematicae 1 Potential Analysis 1 Combinatorics, Probability and Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Bulletin des Sciences Mathématiques 1 East Journal on Approximations 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Computational Methods and Function Theory 1 Surveys in Approximation Theory (SAT) 1 Bolyai Society Mathematical Studies 1 Grundlehren der Mathematischen Wissenschaften 1 Lecture Notes in Mathematics 1 Springer Series in Computational Mathematics 1 Complex Analysis and Operator Theory 1 Jaen Journal on Approximation 1 Analysis and Mathematical Physics 1 Problem Books in Mathematics
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#### Fields

 116 Approximations and expansions (41-XX) 97 Harmonic analysis on Euclidean spaces (42-XX) 36 Functions of a complex variable (30-XX) 36 Potential theory (31-XX) 32 Real functions (26-XX) 12 Special functions (33-XX) 9 Sequences, series, summability (40-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 4 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

167 Publications have been cited 3,000 times in 1,967 Documents Cited by Year
Logarithmic potentials with external fields. Zbl 0881.31001
Saff, Edward B.; Totik, Vilmos
1997
Moduli of smoothness. Zbl 0666.41001
Ditzian, Z.; Totik, V.
1987
General orthogonal polynomials. Zbl 0791.33009
Stahl, Herbert; Totik, Vilmos
1992
Weighted polynomial inequalities with doubling and $$A_\infty$$ weights. Zbl 0956.42001
Mastroianni, Giuseppe; Totik, Vilmos
2000
Asymptotics for Christoffel functions for general measures on the real line. Zbl 0966.42017
Totik, Vilmos
2000
Universality and fine zero spacing on general sets. Zbl 1180.42017
Totik, Vilmos
2009
Szegö’s extremum problem on the unit circle. Zbl 0752.42015
Máté, Attila; Nevai, Paul; Totik, Vilmos
1991
Polynomial inverse images and polynomial inequalities. Zbl 0997.41005
Totik, Vilmos
2001
Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
Approximation by modified Szász operators. Zbl 0611.41013
Mazhar, S. M.; Totik, V.
1985
Orthogonal polynomials and their zeros. Zbl 0691.42020
Nevai, Paul; Totik, Vilmos
1989
Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
Strong and weak convergence of orthogonal polynomials. Zbl 0633.42008
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
A necessary and sufficient condition for the asymptotic stability of the damped oscillator. Zbl 0831.34052
Hatvani, László; Krisztin, Tibor; Totik, Vilmos
1995
On the strong approximation of Fourier series. Zbl 0454.42001
Totik, V.
1980
An interpolation theorem and its applications to positive operators. Zbl 0501.41003
Totik, V.
1984
Approximation by Bernstein polynomials. Zbl 0812.41018
Totik, Vilmos
1994
Asymptotic stability of the equilibrium of the damped oscillator. Zbl 0777.34036
Hatvani, László; Totik, Vilmos
1993
Weighted approximation with varying weight. Zbl 0808.41001
Totik, Vilmos
1994
On the strong law of large numbers for pairwise independent random variables. Zbl 0534.60028
Csörgő, S.; Tandori, K.; Totík, V.
1983
Christoffel functions on curves and domains. Zbl 1189.26028
Totik, Vilmos
2010
Weighted polynomial inequalities. Zbl 0604.41014
Nevai, Paul; Totik, Vilmos
1986
Fast decreasing polynomials. Zbl 0682.41014
Ivanov, K. G.; Totik, V.
1990
Metric properties of harmonic measures. Zbl 1107.31001
Totik, Vilmos
2006
Uniform approximation by Szasz-Mirakjan type operators. Zbl 0513.41013
Totik, V.
1983
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
2004
Notes on Fourier series: Strong approximation. Zbl 0558.42001
Totik, V.
1985
Online algorithms for a dual version of bin packing. Zbl 0659.68069
Csirik, J.; Totik, V.
1988
General orthogonal polynomials. Paperback reprint of 1992 hardback edition. Zbl 1187.33008
Stahl, Herbert; Totik, Vilmos
2010
Orthogonal polynomials. Zbl 1105.42017
Totik, Vilmos
2005
Extensions of Szegö’s theory of orthogonal polynomials. III. Zbl 0635.42024
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
Asymptotics for orthogonal polynomials defined by a recurrence relation. Zbl 0585.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
Remarks on Besov spaces and best polynomial approximation. Zbl 0692.41008
Ditzian, Z.; Totik, V.
1988
Uniform approximation by Baskakov and Meyer-Koenig and Zeller operators. Zbl 0497.41015
Totik, V.
1983
Best approximation and moduli of smoothness for doubling weights. Zbl 0981.41016
Mastroianni, Giuseppe; Totik, Vilmos
2001
Chebyshev constants and the inheritance problem. Zbl 1190.41002
Totik, Vilmos
2009
Polynomial approximation of piecewise analytic functions. Zbl 0683.41011
Saff, E. B.; Totik, V.
1989
Problems and theorems in classical set theory. Zbl 1103.03041
Komjáth, Péter; Totik, Vilmos
2006
Approximation by Szasz-Mirakjan-Kantorovich operators in $$L^p$$ $$(p>1)$$. Zbl 0513.41012
Totik, V.
1983
Chebyshev polynomials on compact sets. Zbl 1297.31005
Totik, Vilmos
2014
Strong converse inequalities. Zbl 0803.41018
Totik, Vilmos
1994
Lebesgue constants for Leja points. Zbl 1193.41003
Taylor, Rodney; Totik, Vilmos
2010
Sharpening of Hilbert’s lemniscate theorem. Zbl 1093.30003
Nagy, Béla; Totik, Vilmos
2005
Uniform approximation by positive operators on infinite intervals. Zbl 0579.41015
Totik, V.
1984
Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials. Zbl 0605.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Problems and solutions concerning Kantorovich operators. Zbl 0496.41009
Totik, V.
1983
Orthogonal polynomials: Their growth relative to their sums. Zbl 0754.42013
Nevai, Paul; Zhang, John; Totik, Vilmos
1991
The distribution of extreme points in best complex polynomial approximation. Zbl 0705.41030
Blatt, H.-P.; Saff, E. B.; Totik, V.
1989
Saturation of the Shepard operators. Zbl 0724.41020
Della Vecchia, B.; Mastroianni, G.; Totik, V.
1990
Asymptotics for the zeros of orthogonal polynomials associated with infinite intervals. Zbl 0639.42023
Máté, A.; Nevai, P.; Totik, V.
1986
Orthogonal polynomials with ratio asymptotics. Zbl 0741.42015
Totik, Vilmos
1992
Asymptotics of Christoffel functions on arcs and curves. Zbl 1293.30017
Totik, Vilmos
2014
Chebyshev and fast decreasing polynomials. Zbl 1317.31007
Totik, Vilmos; Varga, Tamás
2015
Jackson type inequalities for doubling weights. II. Zbl 1084.41510
Mastroianni, Giuseppe; Totik, Vilmos
1999
Asymptotics for Christoffel functions with varying weights. Zbl 0970.42016
Totik, Vilmos
2000
Bernstein’s inequality for algebraic polynomials on circular arcs. Zbl 1267.42001
Nagy, Béla; Totik, Vilmos
2013
The norm of minimal polynomials on several intervals. Zbl 1221.41018
Totik, Vilmos
2011
Tangential Markov inequalities on transcendental curves. Zbl 1041.41010
Bos, L. P.; Brudnyi, A.; Levenberg, N.; Totik, V.
2003
Behavior of polynomials of best uniform approximation. Zbl 0683.41034
Saff, E. B.; Totik, V.
1989
Sharp converse theorem of $$L^ p$$-polynomial approximation. Zbl 0688.41019
Totik, V.
1988
Chebyshev polynomials on a system of curves. Zbl 1268.42046
Totik, Vilmos
2012
Markoff constants for Cantor sets. Zbl 0846.41012
Totik, Vilmos
1995
The gamma operators in $$L^ p$$ spaces. Zbl 0589.41020
Totik, Vilmos
1985
K functionals and best polynomial approximation in weighted $$L^ p(R)$$. Zbl 0606.41010
Ditzian, Z.; Totik, V.
1986
Universality under Szegő’s condition. Zbl 1342.42027
Totik, Vilmos
2016
Approximation by Meyer-Koenig and Zeller type operators. Zbl 0502.41006
Totik, Vilmos
1983
Jackson type inequalities for doubling and $$A_P$$ weights. Zbl 0908.41005
Mastroianni, G.; Totik, V.
1998
Sharp Nikolskij inequalities with exponential weights. Zbl 0659.41015
Nevai, P.; Totik, V.
1987
Distribution of simple zeros of polynomials. Zbl 0888.41003
Totik, Vilmos
1993
Asymptotics for the greatest zeros of orthogonal polynomials. Zbl 0595.42010
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Uniform approximation by Bernstein-type operators. Zbl 0538.41035
Totik, V.
1984
Uniform spacing of zeros of orthogonal polynomials. Zbl 1205.42027
Mastroianni, Giuseppe; Totik, Vilmos
2010
On a conjecture of Widom. Zbl 1311.42064
Totik, Vilmos; Yuditskii, Peter
2015
On approximation of continuous functions in Lipschitz norms. Zbl 0586.42002
Leindler, L.; Meir, A.; Totik, V.
1985
On the strong approximation by the ($$C,\alpha$$)-means of Fourier series. I. Zbl 0434.42002
Totik, V.
1980
Approximation in $$L_ 1$$ by Kantorovich polynomials. Zbl 0501.41024
Totik, V.
1983
K-functionals and weighted moduli of smoothness. Zbl 0715.46043
Ditzian, Z.; Totik, V.
1990
Approximation by polynomials with locally geometric rates. Zbl 0668.41006
Ivanov, K. G.; Saff, E. B.; Totik, V.
1989
On the divergence of Fourier series. Zbl 0515.42004
Totik, V.
1982
Weighted polynomial approximation for weights with slowly varying extremal density. Zbl 0936.41008
Totik, Vilmos
1999
On how long interval is the empirical characteristic function uniformly consistent? Zbl 0518.60039
Csörgő, Sándor; Totík, Vilmos
1983
The Gauss-Lucas theorem in an asymptotic sense. Zbl 1359.26018
Totik, Vilmos
2016
Denisov’s theorem on recurrence coefficients. Zbl 1061.42014
Nevai, Paul; Totik, Vilmos
2004
Theorems and counterexamples on contractive mappings. Zbl 0723.54039
Kincses, J.; Totik, V.
1990
Polynomials with prescribed zeros and small norm. Zbl 1174.26013
Totik, Vilmos; Varjú, Péter P.
2007
The polynomial inverse image method. Zbl 1268.41008
Totik, Vilmos
2012
Saturation for Bernstein type rational functions. Zbl 0538.41034
Totik, V.
1984
Recovery of $$H^ p$$-functions. Zbl 0544.30030
Totik, V.
1984
Oscillatory behavior of orthogonal polynomials. Zbl 0585.42024
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Best weighted polynomial approximation via Jacobi expansions. Zbl 0799.41009
Lubinsky, Doron S.; Totik, Vilmos
1994
Christoffel functions with power type weights. Zbl 1390.26025
2018
$$L^ p (p>1)$$-approximation by Kantorovich polynomials. Zbl 0501.41025
Totik, V.
1983
On Markoff’s inequality. Zbl 1026.30024
Totik, Vilmos
2002
Approximation of continuous functions by $$T$$-means of Fourier series. Zbl 0741.42001
Mazhar, S. M.; Totik, V.
1990
Uniform approximation by exponential-type operators. Zbl 0652.41007
Totik, V.
1988
Orthogonal polynomials for area-type measures and image recovery. Zbl 1320.30064
Saff, E. B.; Stahl, H.; Stylianopoulos, N.; Totik, V.
2015
Asymptotically sharp Markov and Schur inequalities on general sets. Zbl 1321.26034
Kalmykov, Sergei; Nagy, Béla; Totik, Vilmos
2015
Trigonometric series with a generalized monotonicity condition. Zbl 1410.42003
Feng, Lei; Totik, Vilmos; Zhou, Song Ping
2014
On the modulus of continuity in connection with a problem of J. Szabados concerning strong approximation. Zbl 0387.42001
Totik, V.
1978
Bernstein-type inequalities. Zbl 1258.41007
Totik, Vilmos
2012
Regularity of Minkowski’s question mark measure, its inverse and a class of IFS invariant measures. Zbl 1423.42048
Mantica, Giorgio; Totik, Vilmos
2019
Sharp constants in weighted $$L^2$$-Markov inequalities. Zbl 1404.26019
Totik, Vilmos
2019
Density of bivariate homogeneous polynomials on non-convex curves. Zbl 1407.41004
Kroó, András; Totik, Vilmos
2019
Christoffel functions with power type weights. Zbl 1390.26025
2018
Bernstein- and Markov-type inequalities for rational functions. Zbl 1387.41005
Kalmykov, Sergei; Nagy, Béla; Totik, Vilmos
2017
Modified logarithmic potential theory and applications. Zbl 1405.31006
Bloom, Thomas; Levenberg, Norman; Totik, Vilmos; Wielonsky, Franck
2017
Sharp constants in asymptotic higher order Markov inequalities. Zbl 1399.26032
Totik, V.; Zhou, Y.
2017
Universality under Szegő’s condition. Zbl 1342.42027
Totik, Vilmos
2016
The Gauss-Lucas theorem in an asymptotic sense. Zbl 1359.26018
Totik, Vilmos
2016
Chebyshev and fast decreasing polynomials. Zbl 1317.31007
Totik, Vilmos; Varga, Tamás
2015
On a conjecture of Widom. Zbl 1311.42064
Totik, Vilmos; Yuditskii, Peter
2015
Orthogonal polynomials for area-type measures and image recovery. Zbl 1320.30064
Saff, E. B.; Stahl, H.; Stylianopoulos, N.; Totik, V.
2015
Asymptotically sharp Markov and Schur inequalities on general sets. Zbl 1321.26034
Kalmykov, Sergei; Nagy, Béla; Totik, Vilmos
2015
Bernstein- and Markov-type inequalities for trigonometric polynomials on general sets. Zbl 1316.42003
Totik, Vilmos
2015
Christoffel functions for weights with jumps. Zbl 1329.42024
Nevai, Paul; Totik, Vilmos
2015
Convex polygons and common transversals. Zbl 1355.52001
Hajnal, Péter; Szabó, László I.; Totik, Vilmos
2015
Chebyshev polynomials on compact sets. Zbl 1297.31005
Totik, Vilmos
2014
Asymptotics of Christoffel functions on arcs and curves. Zbl 1293.30017
Totik, Vilmos
2014
Trigonometric series with a generalized monotonicity condition. Zbl 1410.42003
Feng, Lei; Totik, Vilmos; Zhou, Song Ping
2014
Polynomial approximation on polytopes. Zbl 1305.41009
Totik, Vilmos
2014
Some problems of A. Kroó on multiple Chebyshev polynomials. Zbl 1322.42032
Totik, Vilmos
2014
In memoriam: Herbert Stahl (August 3, 1942–April 22, 2013). Zbl 1288.01029
Aptekarev, Alexander; Nevai, Paul; Totik, Vilmos
2014
Riesz-type inequalities on general sets. Zbl 1305.41016
Nagy, Béla; Totik, Vilmos
2014
Bernstein’s inequality for algebraic polynomials on circular arcs. Zbl 1267.42001
Nagy, Béla; Totik, Vilmos
2013
Approximation by homogeneous polynomials. Zbl 1282.41011
Totik, Vilmos
2013
Lemniscate growth. Zbl 1278.31002
Lundberg, Erik; Totik, Vilmos
2013
Szegő’s problem on curves. Zbl 1286.42040
Totik, Vilmos
2013
A note on rational $$L^p$$ approximation on Jordan curves. Zbl 1280.41015
Totik, Vilmos
2013
Chebyshev polynomials on a system of curves. Zbl 1268.42046
Totik, Vilmos
2012
The polynomial inverse image method. Zbl 1268.41008
Totik, Vilmos
2012
Bernstein-type inequalities. Zbl 1258.41007
Totik, Vilmos
2012
Convexity of harmonic densities. Zbl 1253.31004
Benko, David; Dragnev, Peter; Totik, Vilmos
2012
Compression of quasianalytic spectral sets of cyclic contractions. Zbl 1269.47009
Kérchy, László; Totik, Vilmos
2012
Non-symmetric fast decreasing polynomials and applications. Zbl 1254.41007
Totik, Vilmos; Varga, Tamás
2012
Fast decreasing and orthogonal polynomials. Zbl 1318.42034
Totik, Vilmos
2012
Polynomials with zeros and small norm on curves. Zbl 1276.41007
Totik, Vilmos
2012
The norm of minimal polynomials on several intervals. Zbl 1221.41018
Totik, Vilmos
2011
Andrei Aleksandrovich Gonchar (on his 80th birthday). Zbl 1236.01017
Aptekarev, A. I.; Lagomasino, G. L.; Saff, E. B.; Stahl, H.; Totik, V.
2011
Christoffel functions on curves and domains. Zbl 1189.26028
Totik, Vilmos
2010
General orthogonal polynomials. Paperback reprint of 1992 hardback edition. Zbl 1187.33008
Stahl, Herbert; Totik, Vilmos
2010
Lebesgue constants for Leja points. Zbl 1193.41003
Taylor, Rodney; Totik, Vilmos
2010
Uniform spacing of zeros of orthogonal polynomials. Zbl 1205.42027
Mastroianni, Giuseppe; Totik, Vilmos
2010
Universality and fine zero spacing on general sets. Zbl 1180.42017
Totik, Vilmos
2009
Chebyshev constants and the inheritance problem. Zbl 1190.41002
Totik, Vilmos
2009
Ultrafilters. Zbl 1147.03028
Komjáth, Péter; Totik, Vilmos
2008
Polynomials with prescribed zeros and small norm. Zbl 1174.26013
Totik, Vilmos; Varjú, Péter P.
2007
Orthogonal polynomials: from Jacobi to Simon. Zbl 1134.42326
Golinskii, Leonid; Totik, Vilmos
2007
Smooth equilibrium measures and approximation. Zbl 1123.41005
Totik, Vilmos; Varjú, Péter P.
2007
Metric properties of harmonic measures. Zbl 1107.31001
Totik, Vilmos
2006
Problems and theorems in classical set theory. Zbl 1103.03041
Komjáth, Péter; Totik, Vilmos
2006
Open problems in constructive function theory. Zbl 1107.41011
Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, N.; Totik, V.; Varju, P.; Xu, Y.
2006
The inheritance problem and monotone systems. Zbl 1418.91265
Totik, Vilmos
2006
Orthogonal polynomials. Zbl 1105.42017
Totik, Vilmos
2005
Sharpening of Hilbert’s lemniscate theorem. Zbl 1093.30003
Nagy, Béla; Totik, Vilmos
2005
Zero distributions via orthogonality. Zbl 1076.30010
Baratchart, Laurent; Küstner, Reinhold; Totik, Vilmos
2005
Markov inequality and Green functions. Zbl 1136.41305
Toókos, Ferenc; Totik, Vilmos
2005
Limits of zeros of orthogonal polynomials on the circle. Zbl 1077.42017
Simon, Barry; Totik, Vilmos
2005
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
2004
Denisov’s theorem on recurrence coefficients. Zbl 1061.42014
Nevai, Paul; Totik, Vilmos
2004
Tangential Markov inequalities on transcendental curves. Zbl 1041.41010
Bos, L. P.; Brudnyi, A.; Levenberg, N.; Totik, V.
2003
On Markoff’s inequality. Zbl 1026.30024
Totik, Vilmos
2002
How to prove results for polynomials on several intervals? Zbl 1034.41014
Totik, Vilmos
2002
Polynomial inverse images and polynomial inequalities. Zbl 0997.41005
Totik, Vilmos
2001
Best approximation and moduli of smoothness for doubling weights. Zbl 0981.41016
Mastroianni, Giuseppe; Totik, Vilmos
2001
Sets with interior extremal points for the Markoff inequality. Zbl 0980.41011
Benko, David; Totik, Vilmos
2001
Weighted polynomial inequalities with doubling and $$A_\infty$$ weights. Zbl 0956.42001
Mastroianni, Giuseppe; Totik, Vilmos
2000
Asymptotics for Christoffel functions for general measures on the real line. Zbl 0966.42017
Totik, Vilmos
2000
Asymptotics for Christoffel functions with varying weights. Zbl 0970.42016
Totik, Vilmos
2000
Weighted polynomial approximation for convex external fields. Zbl 0955.41005
Totik, Vilmos
2000
Jackson type inequalities for doubling weights. II. Zbl 1084.41510
Mastroianni, Giuseppe; Totik, Vilmos
1999
Weighted polynomial approximation for weights with slowly varying extremal density. Zbl 0936.41008
Totik, Vilmos
1999
A tale of two integrals. Zbl 1021.26001
Totik, Vilmos
1999
Jackson type inequalities for doubling and $$A_P$$ weights. Zbl 0908.41005
Mastroianni, G.; Totik, V.
1998
Logarithmic potentials with external fields. Zbl 0881.31001
Saff, Edward B.; Totik, Vilmos
1997
A necessary and sufficient condition for the asymptotic stability of the damped oscillator. Zbl 0831.34052
Hatvani, László; Krisztin, Tibor; Totik, Vilmos
1995
Markoff constants for Cantor sets. Zbl 0846.41012
Totik, Vilmos
1995
Approximation by Bernstein polynomials. Zbl 0812.41018
Totik, Vilmos
1994
Weighted approximation with varying weight. Zbl 0808.41001
Totik, Vilmos
1994
Strong converse inequalities. Zbl 0803.41018
Totik, Vilmos
1994
Best weighted polynomial approximation via Jacobi expansions. Zbl 0799.41009
Lubinsky, Doron S.; Totik, Vilmos
1994
Fast decreasing polynomials via potentials. Zbl 0807.41005
Totik, Vilmos
1994
Weighted polynomial approximation with Freud weights. Zbl 0807.41006
Lubinsky, Doron S.; Totik, Vilmos
1994
Local asymptotic distribution of zeros of orthogonal polynomials. Zbl 0795.42013
Totik, Vilmos; Ullman, Joseph L.
1994
Polynomial approximation on the boundary and strictly inside. Zbl 0804.41007
Shirokov, N. A.; Totik, V.
1994
Asymptotic stability of the equilibrium of the damped oscillator. Zbl 0777.34036
Hatvani, László; Totik, Vilmos
1993
Distribution of simple zeros of polynomials. Zbl 0888.41003
Totik, Vilmos
1993
Approximation by algebraic polynomials. Zbl 0767.41014
Totik, Vilmos
1993
How to discretize a logarithmic potential? Zbl 0801.41023
Lubinsky, Doron S.; Totik, Vilmos
1993
General orthogonal polynomials. Zbl 0791.33009
Stahl, Herbert; Totik, Vilmos
1992
Orthogonal polynomials with ratio asymptotics. Zbl 0741.42015
Totik, Vilmos
1992
What parts of a measure’s support attract zeros of the corresponding orthogonal polynomials? Zbl 0770.42015
Saff, E. B.; Totik, Vilmos
1992
Szegö’s extremum problem on the unit circle. Zbl 0752.42015
Máté, Attila; Nevai, Paul; Totik, Vilmos
1991
Orthogonal polynomials: Their growth relative to their sums. Zbl 0754.42013
Nevai, Paul; Zhang, John; Totik, Vilmos
1991
Polynomial approximation with locally geometric rate. Zbl 0783.41005
Totik, V.
1991
Fast decreasing polynomials. Zbl 0682.41014
Ivanov, K. G.; Totik, V.
1990
Saturation of the Shepard operators. Zbl 0724.41020
Della Vecchia, B.; Mastroianni, G.; Totik, V.
1990
K-functionals and weighted moduli of smoothness. Zbl 0715.46043
Ditzian, Z.; Totik, V.
1990
Theorems and counterexamples on contractive mappings. Zbl 0723.54039
Kincses, J.; Totik, V.
1990
Approximation of continuous functions by $$T$$-means of Fourier series. Zbl 0741.42001
Mazhar, S. M.; Totik, V.
1990
Zeros of Chebyshev polynomials associated with a compact set in the plane. Zbl 0701.30010
Saff, E. B.; Totik, V.
1990
...and 67 more Documents
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#### Cited by 1,401 Authors

 81 Totik, Vilmos 80 Lubinsky, Doron S. 51 Saff, Edward Barry 44 Mastroianni, Giuseppe 32 Andrievskii, Vladimir V. 30 Ditzian, Zeev 30 Kuijlaars, Arno B. J. 27 López Lagomasino, Guillermo Tomás 24 Gupta, Vijay 24 Pritsker, Igor E. 22 Agrawal, Purshottam Narain 21 Martínez-Finkelshtein, Andrei 21 Simon, Barry 20 Della Vecchia, Biancamaria 20 Nevai, Paul G. 19 Bloom, Thomas 19 Van Assche, Walter 18 Levenberg, Norman jun. 18 Leviatan, Dany 17 Kroó, András 17 Szabados, Jozsef 16 Guo, Shunsheng 16 Ivanov, Kamen G. 16 Sugie, Jitsuro 15 Marcellán Español, Francisco 15 Stahl, Herbert Robert 14 Blatt, Hans-Peter 14 Dai, Feng 14 Mhaskar, Hrushikesh N. 14 Tikhonov, Sergey Yur’evich 13 Finta, Zoltán 13 Goginava, Ushangi 13 Kopotun, Kirill A. 13 Levin, Eli 13 Wielonsky, Franck 12 Acu, Ana Maria 12 Aptekarev, Alexander Ivanovich 12 Beckermann, Bernhard 12 Damelin, Steven Benjamin 12 Zinchenko, Maxim 11 Ameur, Yacin 11 Buslaev, Viktor Ivanovich 11 Christiansen, Jacob Stordal 11 Draganov, Borislav R. 11 Geronimo, Jeffrey S. 11 Occorsio, Donatella 11 Serfaty, Sylvia 10 Adell, José Antonio 10 Alpan, Gökalp 10 Baratchart, Laurent 10 Dragnev, Peter D. 10 Epstein, Leah 10 Erdélyi, Tamás 10 Notarangelo, Incoronata 10 Orive Rodríguez, Ramón Angel 10 Pijeira-Cabrera, Héctor 10 Shevchuk, Igor A. 10 Stylianopoulos, Nikos S. 9 Bello Hernández, Manuel 9 Goncharov, Alexander P. 9 Heilmann, Margareta 9 Kajla, Arun 9 McLaughlin, Kenneth D. T.-R. 9 Miña-Díaz, Erwin 9 Qi, Qiulan 8 Abel, Ulrich 8 Agratini, Octavian 8 Bertola, Marco 8 Białas-Cież, Leokadia 8 Breuer, Jonathan 8 Deift, Percy A. 8 Deo, Naokant 8 Leindler, László 8 Nagy, Béla 8 Peherstorfer, Franz 8 Rakhmanov, Evgenij Andreevich 8 Rasa, Ioan 8 Simanek, Brian Z. 8 Tachev, Gancho T. 8 Xie, Linsen 8 Xu, Yuan 8 Yattselev, Maxim L. 8 Yu, Dansheng 8 Zhou, Dingxuan 8 Zorii, Natalia 7 Berman, Robert J. 7 Berriochoa, Elías 7 Bos, Len P. 7 Bustamante González, Jorge 7 Cachafeiro, Alicia 7 Chafaï, Djalil 7 Charlier, Christophe 7 Claeys, Tom 7 De Bonis, Maria Carmela 7 Delvaux, Steven 7 Gadjev, Ivan 7 Gal, Sorin Gheorghe 7 Kalmykov, Sergeĭ Ivanovich 7 Laurita, Concetta 7 Levin, A. L. ...and 1,301 more Authors
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#### Cited in 288 Serials

 334 Journal of Approximation Theory 120 Constructive Approximation 104 Journal of Mathematical Analysis and Applications 98 Journal of Computational and Applied Mathematics 66 Acta Mathematica Hungarica 48 Applied Mathematics and Computation 41 Computational Methods and Function Theory 40 Proceedings of the American Mathematical Society 37 Journal d’Analyse Mathématique 35 Communications in Mathematical Physics 30 Results in Mathematics 27 Analysis Mathematica 27 Advances in Mathematics 24 Transactions of the American Mathematical Society 23 Potential Analysis 23 Journal of Inequalities and Applications 20 Mathematical Notes 18 Mathematics of Computation 17 Ukrainian Mathematical Journal 17 Journal of Functional Analysis 17 Analysis in Theory and Applications 16 Journal of Statistical Physics 14 Computers & Mathematics with Applications 14 Applied Numerical Mathematics 13 Mediterranean Journal of Mathematics 12 Numerical Algorithms 11 Periodica Mathematica Hungarica 11 Numerische Mathematik 11 Sbornik: Mathematics 11 Complex Analysis and Operator Theory 10 Rocky Mountain Journal of Mathematics 10 Statistics & Probability Letters 10 Abstract and Applied Analysis 9 Journal of Mathematical Physics 9 Probability Theory and Related Fields 9 Analysis and Mathematical Physics 8 Communications on Pure and Applied Mathematics 8 Calcolo 8 Numerical Functional Analysis and Optimization 8 Journal of Theoretical Probability 8 Applied Mathematics Letters 8 Indagationes Mathematicae. New Series 8 Advances in Computational Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 The Annals of Probability 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 SIAM Journal on Mathematical Analysis 6 Israel Journal of Mathematics 6 Arkiv för Matematik 6 Acta Mathematica 6 Duke Mathematical Journal 6 Mathematische Nachrichten 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 6 The Journal of Fourier Analysis and Applications 6 Positivity 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Proceedings of the Steklov Institute of Mathematics 5 Demonstratio Mathematica 5 Integral Equations and Operator Theory 5 Monatshefte für Mathematik 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Acta Applicandae Mathematicae 5 Journal of Function Spaces and Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Annales Polonici Mathematici 4 Inventiones Mathematicae 4 Mathematica Slovaca 4 Mathematische Zeitschrift 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Complexity 4 Bulletin of the American Mathematical Society. New Series 4 Russian Mathematics 4 Applied Mathematics. Series B (English Edition) 4 St. Petersburg Mathematical Journal 4 Georgian Mathematical Journal 4 Integral Transforms and Special Functions 4 Electronic Journal of Probability 4 Journal of Scheduling 4 Foundations of Computational Mathematics 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Journal of Mathematical Inequalities 4 Random Matrices: Theory and Applications 4 Bulletin of Mathematical Sciences 4 Journal of Function Spaces 4 Bollettino dell’Unione Matematica Italiana 4 Constructive Mathematical Analysis 3 Archive for Rational Mechanics and Analysis 3 Discrete Applied Mathematics 3 Journal of Computational Physics 3 Nuclear Physics. B 3 Annales de l’Institut Fourier 3 BIT 3 International Journal of Mathematics and Mathematical Sciences 3 Memoirs of the American Mathematical Society 3 Information and Computation 3 Journal of the American Mathematical Society 3 Journal of Integral Equations and Applications ...and 188 more Serials
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#### Cited in 53 Fields

 927 Approximations and expansions (41-XX) 491 Harmonic analysis on Euclidean spaces (42-XX) 361 Functions of a complex variable (30-XX) 241 Special functions (33-XX) 179 Probability theory and stochastic processes (60-XX) 167 Potential theory (31-XX) 163 Numerical analysis (65-XX) 103 Linear and multilinear algebra; matrix theory (15-XX) 101 Operator theory (47-XX) 92 Real functions (26-XX) 83 Functional analysis (46-XX) 77 Statistical mechanics, structure of matter (82-XX) 71 Ordinary differential equations (34-XX) 61 Partial differential equations (35-XX) 41 Dynamical systems and ergodic theory (37-XX) 39 Several complex variables and analytic spaces (32-XX) 34 Sequences, series, summability (40-XX) 33 Integral equations (45-XX) 33 Statistics (62-XX) 29 Computer science (68-XX) 27 Operations research, mathematical programming (90-XX) 26 Measure and integration (28-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Combinatorics (05-XX) 24 Quantum theory (81-XX) 21 Integral transforms, operational calculus (44-XX) 18 Number theory (11-XX) 16 Difference and functional equations (39-XX) 15 Convex and discrete geometry (52-XX) 14 Information and communication theory, circuits (94-XX) 11 General topology (54-XX) 9 Systems theory; control (93-XX) 8 History and biography (01-XX) 8 Mathematical logic and foundations (03-XX) 8 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 6 Abstract harmonic analysis (43-XX) 6 Biology and other natural sciences (92-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Geometry (51-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

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