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## Nevai, Paul G.

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 Author ID: nevai.paul-g Published as: Nevai, G. P.; Nevai, G. Pal; Nevai, P.; Nevai, P. G.; Nevai, Paul; Nevai, Paul G.; Névai, G. P. Homepage: https://people.math.osu.edu/nevai.1/
 Documents Indexed: 157 Publications since 1972, including 3 Books
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#### Co-Authors

 60 single-authored 31 Máté, Attila 27 Totik, Vilmos 8 Lubinsky, Doron S. 7 Erdélyi, Tamás 7 Van Assche, Walter 6 Vértesi, Péter 4 Golinskii, Leonid B. 4 Kashin, Boris Sergeevich 4 Mastroianni, Giuseppe 4 Suetin, Sergeĭ Pavlovich 3 Criscuolo, Giuliana 3 Martínez-Finkelshtein, Andrei 3 Zhang, John Z. H. 2 Bauldry, William C. 2 Bonan, S. 2 Freud, Géza 2 Geronimo, Jeffrey S. 2 Jha, Shing-Whu 2 López Lagomasino, Guillermo Tomás 2 Mhaskar, Hrushikesh N. 2 Pintér, Ferenc 2 Xu, Yuan 1 Alimov, Alexey R. 1 Alsulami, Saud Mastour A. 1 Aptekarev, Alexander Ivanovich 1 Askey, Richard Allen 1 Berdysheva, Elena E. 1 Bonan, Stanford S. 1 Butzer, Paul Leo 1 Dahmen, Wolfgang A. 1 de Boor, Carl 1 Dehesa, Jesús S. 1 DeVore, Ron 1 Ditzian, Zeev 1 Divis, Zita M. 1 Dombrowski, Joanne 1 Filbir, Frank-Dieter 1 Ganzburg, Michael Iosifovich 1 Gasper, George Jun 1 Glushkin, E. D. 1 Ismail, Mourad El-Houssieny 1 Jetter, Kurt 1 Kis, Ottó 1 Knopfmacher, Arnold 1 Koornwinder, Tom H. 1 Kozlov, Vladimir A. 1 Kroó, András 1 Laptev, Ari 1 Magnus, Alphonse Ph. 1 Makarov, Boris M. 1 Mityagin, Boris Samuilovich 1 Peña, Ana 1 Pinkus, Allan M. 1 Rozenblum, Grigori V. 1 Saff, Edward Barry 1 Sauer, Tomas 1 Schumaker, Larry L. 1 Seneta, Eugene 1 Shi, Yingguang 1 Shvarts, Eugene 1 Sommer, Manfred 1 Stanton, Dennis W. 1 Strauss, Hans 1 Suslina, Tat’yana Aleksandrovna 1 Szabados, Jozsef 1 Ural’tseva, Nina Nikolaevna 1 Varma, Arun Kumar 1 Vershik, Anatoliĭ Moiseevich 1 Walter, Gilbert G. 1 Yafaev, Dimitri R. 1 Zaslavsky, Thomas 1 zu Castell, Wolfgang
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#### Serials

 34 Journal of Approximation Theory 13 Acta Mathematica Academiae Scientiarum Hungaricae 10 SIAM Journal on Mathematical Analysis 9 Constructive Approximation 7 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Acta Scientiarum Mathematicarum 4 Matematikai Lapok 4 Studia Scientiarum Mathematicarum Hungarica 3 Sbornik: Mathematics 3 Annals of Mathematics. Second Series 2 Rocky Mountain Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Acta Mathematica Hungarica 2 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation 1 Memoirs of the American Mathematical Society 1 Publicationes Mathematicae 1 Soviet Mathematics. Doklady 1 Approximation Theory and its Applications 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Bulletin of Mathematical Sciences
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#### Fields

 99 Harmonic analysis on Euclidean spaces (42-XX) 65 Approximations and expansions (41-XX) 28 Special functions (33-XX) 11 History and biography (01-XX) 10 Difference and functional equations (39-XX) 9 Real functions (26-XX) 7 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 4 Sequences, series, summability (40-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Potential theory (31-XX) 1 Number theory (11-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

129 Publications have been cited 2,047 times in 1,047 Documents Cited by Year
Orthogonal polynomials. Zbl 0405.33009
Nevai, Paul G.
1979
Géza Freud, orthogonal polynomials and Christoffel functions. A case study. Zbl 0606.42020
Nevai, Paul
1986
Mean convergence of Lagrange interpolation. III. Zbl 0577.41001
Nevai, Paul
1984
Generalized Jacobi weights, Christoffel functions, and Jacobi polynomials. Zbl 0805.33013
Nevai, Paul; Erdélyi, Tamás; Magnus, Alphonse P.
1994
Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
Szegö’s extremum problem on the unit circle. Zbl 0752.42015
Máté, Attila; Nevai, Paul; Totik, Vilmos
1991
Orthogonal polynomials and their zeros. Zbl 0691.42020
Nevai, Paul; Totik, Vilmos
1989
Strong and weak convergence of orthogonal polynomials. Zbl 0633.42008
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
Orthogonal polynomials, recurrences, Jacobi matrices and measures. Zbl 0789.42016
Nevai, P.
1992
Orthogonal polynomials, measures and recurrence relations. Zbl 0595.42011
Dombrowski, Joanne; Nevai, Paul
1986
Mean convergence of Lagrange interpolation. I. Zbl 0426.41001
Nevai, G. P.
1976
Mean convergence of Hermite-Fejér interpolation. Zbl 0567.41002
Nevai, Paul; Vértesi, Péter
1985
A generalization of Poincaré’s theorem for recurrence equations. Zbl 0715.34131
Máté, Attila; Nevai, Paul
1990
Asymptotics for orthogonal polynomials associated with $$\exp (-x^ 4)$$. Zbl 0566.42016
Nevai, Paul
1984
Orthogonal polynomials and their derivatives. I. Zbl 0533.42015
Bonan, Stanford; Nevai, Paul
1984
On asymptotic average properties of zeros of orthogonal polynomials. Zbl 0434.33010
Nevai, Paul G.; Dehesa, Jesus S.
1979
Orthogonal polynomials and their derivatives. II. Zbl 0638.42023
Bonan, S.; Lubinsky, D. S.; Nevai, P.
1987
Remarks on E. A. Rahmanov’s paper ”On the asymptotics of the ratio of orthogonal polynomials”. Zbl 0509.30029
Mate, A.; Nevai, P. G.
1982
Szegö difference equations, transfer matrices and orthogonal polynomials on the unit circle. Zbl 0998.42015
Golinskii, Leonid; Nevai, Paul
2001
Quadrature sums involving pth powers of polynomials. Zbl 0623.41029
Lubinsky, D. S.; Maté, A.; Nevai, P.
1987
Mean convergence of Lagrange interpolation. II. Zbl 0469.41004
Nevai, Paul G.
1980
Weighted polynomial inequalities. Zbl 0604.41014
Nevai, Paul; Totik, Vilmos
1986
Perturbation of orthogonal polynomials on an arc of the unit circle. Zbl 0842.42013
Golinskij, Leonid; Nevai, Paul; Van Assche, Walter
1995
A simple proof of “Favard’s theorem” on the unit circle. Zbl 0753.33004
Erdélyi, Tamás; Nevai, Paul; Zhang, John; Geronimo, Jeffery S.
1991
The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators. Zbl 0731.42021
Máté, Attila; Nevai, Paul; Van Assche, Walter
1991
Lagrange interpolation at zeros of orthogonal polynomials. Zbl 0343.41002
Nevai, G. P.
1976
Asymptotic expansions of ratios of coefficients of orthogonal polynomials with exponential weights. Zbl 0536.42023
Máté, Attila; Nevai, Paul; Zaslavsky, Thomas
1985
An asymptotic formula for the derivatives of orthogonal polynomials. Zbl 0416.42013
Nevai, Paul G.
1979
Extensions of Szegö’s theory of orthogonal polynomials. III. Zbl 0635.42024
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
Bernstein’s inequality in $$L^p$$ for $$O<p<1$$. Zbl 0432.41009
Nevai, Paul G.
1979
Polynome, die auf der reellen Achse mit dem Gewicht $$| x | ^ \alpha e^ {{- | x |} ^\beta}$$ orthogonal sind. I. Zbl 0293.33010
Nevai, G. P.
1973
Exact bounds for orthogonal polynomials associated with exponential weights. Zbl 0605.42019
Nevai, Paul
1985
A new class of orthogonal polynomials. Zbl 0572.42019
Nevai, Paul
1984
Asymptotics for orthogonal polynomials defined by a recurrence relation. Zbl 0585.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
Bernstein’s inequality in $$L^p$$ for $$0<p<1$$ and $$(C,1)$$ bounds for orthogonal polynomials. Zbl 0416.42001
Mate, Attila; Nevai, Paul G.
1980
Orthogonal polynomials defined by a recurrence relation. Zbl 0413.42015
Nevai, Paul G.
1979
Compact perturbations of orthogonal polynomials. Zbl 0723.42009
Nevai, Paul; Van Assche, Walter
1992
Mean convergence of derivates of Lagrange interpolation. Zbl 0745.41002
Mastroianni, Giuseppe; Nevai, Paul
1991
Mean convergence of derivatives of extended Lagrange interpolation with additional nodes. Zbl 0814.41004
Criscuolo, Giuliana; Mastroianni, Guiseppe; Nevai, Paul
1993
Inequalities for generalized nonnegative polynomials. Zbl 0754.41008
Erdélyi, Tamás; Máté, Attila; Nevai, Paul
1992
Orthogonal polynomials: Their growth relative to their sums. Zbl 0754.42013
Nevai, Paul; Zhang, John; Totik, Vilmos
1991
Asymptotic for solutions of systems of smooth recurrence equations. Zbl 0663.42024
Bauldry, William C.; Máté, Attila; Nevai, Paul
1988
Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials. Zbl 0605.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Weakly convergent sequences of functions and orthogonal polynomials. Zbl 0731.42020
Nevai, Paul
1991
Markov-Bernstein inequalities revisited. Zbl 0673.41007
Lubinsky, D. S.; Nevai, P.
1987
Asymptotics for the zeros of orthogonal polynomials associated with infinite intervals. Zbl 0639.42023
Máté, A.; Nevai, P.; Totik, V.
1986
Distribution of zeros of orthogonal polynomials. Zbl 0413.42016
Nevai, Paul G.
1979
Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials. Zbl 0756.42016
Erdélyi, Tamás; Nevai, Paul
1992
Asymptotics for solutions of smooth recurrence equations. Zbl 0574.42017
Máté, Attila; Nevai, Paul
1985
Large sieve estimates on arcs of a circle. Zbl 1174.11398
Golinskii, Leonid; Lubinsky, Doron S.; Nevai, Paul
2001
Perturbation of orthogonal polynomials on an arc of the unit circle. II. Zbl 0958.42016
Golinskii, Leonid; Nevai, Paul; Pintér, Ferenc; van Assche, Walter
1999
Hilbert transforms and Lagrange interpolation. Zbl 0701.41003
Nevai, Paul
1990
Orthogonal polynomials, measures and recurrences on the unit circle. Zbl 0658.42026
Nevai, Paul
1987
Sublinear perturbations of the differential equation $$y^{(n)}=0$$ and of the analogous difference equation. Zbl 0489.34035
Mate, Attila; Nevai, Paul
1984
Orthogonal polynomials and absolutely continuous measures. Zbl 0541.43001
Máté, Attila; Nevai, Paul
1983
Bemerkungen über die Interpolation. Zbl 0286.41002
Nevai, G. P.
1974
Lower bounds for derivatives of polynomials and Remez type inequalities. Zbl 0884.33005
Erdélyi, Tamás; Nevai, Paul
1997
Associated generalized Jacobi functions and polynomials. Zbl 0729.42014
Criscuolo, Giuliana; Mastroianni, Giuseppe; Nevai, Paul
1991
Orthogonal polynomials: theory and practice. Proceedings of the NATO Advanced Study Institute on orthogonal polynomials and their applications held in Columbus, Ohio, USA, May 22-June 3, 1989. With the assistance of Mourad E. H. Ismail. Zbl 0694.00015
Nevai, Paul (ed.)
1990
Sharp Nikolskij inequalities with exponential weights. Zbl 0659.41015
Nevai, P.; Totik, V.
1987
Asymptotics for the greatest zeros of orthogonal polynomials. Zbl 0595.42010
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Two of my favorite ways of obtaining asymptotics for orthogonal polynomials. Zbl 0628.33009
Nevai, Paul
1984
On orthogonal polynomials. Zbl 0419.33005
Nevai, Paul G.
1979
Research problems in orthogonal polynomials. Zbl 0725.33001
Nevai, Paul
1989
Characterization of measures associated with orthogonal polynomials on the unit circle. Zbl 0688.42021
Nevai, Paul
1989
Necessary and sufficient conditions relating the coefficients in the recurrence formula to the spectral function for orthogonal polynomials. Zbl 0517.42031
Geronimo, Jeffrey S.; Nevai, Paul G.
1983
Some properties of polynomials orthonormal with weight $$(1+k^{2k})^\alpha e^{-x^{2k}}$$, and their applications in approximation theory. Zbl 0288.42008
Nevai, G. P.
1973
Denisov’s theorem on recurrence coefficients. Zbl 1061.42014
Nevai, Paul; Totik, Vilmos
2004
Freud’s conjecture and approximation of reciprocals of weights by polynomials. Zbl 0646.41002
Knopfmacher, Arnold; Lubinsky, D. S.; Nevai, P.
1988
Oscillatory behavior of orthogonal polynomials. Zbl 0585.42024
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Orthogonal polynomials on infinite intervals. Zbl 0604.42022
Nevai, Paul
1985
Solution of Turán’s problem on divergence of Lagrange interpolation in $$L^ p$$ with $$p>2$$. Zbl 0562.41003
Nevai, Paul
1985
A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. Zbl 1314.39017
Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter
2015
Schur functions and orthogonal polynomials on the unit circle. Zbl 0866.30010
Pintér, F.; Nevai, P.
1996
Mean convergence of Hermite interpolation. Zbl 0806.41004
Nevai, Paul; Xu, Yuan
1994
A new quadrature formula associated with the ultraspherical polynomials. Zbl 0638.41025
Nevai, Paul; Varma, A. K.
1987
Orthogonal polynomials associated with $$\exp (-x^ 4)$$. Zbl 0561.42013
Nevai, Paul
1983
Bernstein’s inequality in $$L^p$$ for $$0<p<1$$ and $$(C, 1)$$ bounds for orthogonal polynomials. Zbl 0397.42001
Mate, Attila; Nevai, Paul G.
1980
On an interpolational process with applications to Fourier series. Zbl 0332.42005
Kis, O.; Névai, G. P.
1975
Einseitige Approximation durch Polynome, mit Anwendungen. Zbl 0256.41004
Nevai, G. P.
1972
Über die Abweichung trigonometrischer Interpolationssummen. Zbl 0244.42005
Nevai, G. P.
1972
Über die Konvergenz der Lagrangeschen Interpolation in Laguerreschen Knoten. Zbl 0273.41001
Nevai, G. P.
1973
Sub-exponential growth of solutions of difference equations. Zbl 0723.39003
Lubinsky, Doron S.; Nevai, Paul
1992
Results on mean convergence of derivatives of Lagrange interpolation. Zbl 0738.41009
Nevai, Paul; Vértesi, Péter
1989
Twisted difference operators and perturbed Chebyshev polynomials. Zbl 0718.41007
Máté, Attila; Nevai, Paul; Totik, Vilmos
1988
Polynomial approximation with exponential weights. Zbl 0649.41009
Ditzian, Z.; Lubinsky, D. S.; Nevai, P.; Totik, V.
1987
What is beyond Szegö’s theory of orthogonal polynomials? Zbl 0564.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
1984
Eigenvalue distribution of Toeplitz matrices. Zbl 0438.42016
Nevai, Paul G.
1980
Über das Dini-Lipschitzsche kriterium. Zbl 0269.42009
Nevai, G. P.
1973
Lagrange interpolation based on the zeros of Laguerre polynomials as nodes. Zbl 0247.41002
Nevai, G. Pal
1972
The Bernstein inequality and the Schur inequality are equivalent. Zbl 1290.41007
Nevai, Paul; the anonymous referee
2014
Some convergence estimates of a linear positive operator. Zbl 0706.41016
Criscuolo, G.; Mastroianni, G.; Nevai, P.
1989
Asymptotics for the solutions of systems of smooth recurrence equations and their applications to orthogonal polynomials. Zbl 0737.41032
Jha, Shing-Whu; Máté, Attila; Nevai, Paul
1989
Hermite-Fejér interpolation at zeros of generalized Jacobi polynomials. Zbl 0577.41003
Nevai, Paul; Vértesi, Peter
1983
Über eine Ungleichung von G. Freud. Zbl 0296.41001
Nevai, G. P.
1974
Einseitige Approximation durch Polynome in $$[0, \infty)$$. Zbl 0286.41007
Nevai, G. P.
1973
Über den Lagrangeschen Interpolationsprozess mit Knoten in den Wurzeln der Hermiteschen Polynome. Zbl 0256.41003
Nevai, G. P.
1973
On the derivatives of unimodular polynomials. Zbl 1351.41008
Nevai, Paul; Erdélyi, Tamaś
2016
Christoffel functions for weights with jumps. Zbl 1329.42024
Nevai, Paul; Totik, Vilmos
2015
In memoriam: Ranko Bojanic November 12, 1924-February 21, 2017. Zbl 1387.01013
Divis, Zita M.; Nevai, Paul; Seneta, Eugene
2018
On the derivatives of unimodular polynomials. Zbl 1351.41008
Nevai, Paul; Erdélyi, Tamaś
2016
A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. Zbl 1314.39017
Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter
2015
Christoffel functions for weights with jumps. Zbl 1329.42024
Nevai, Paul; Totik, Vilmos
2015
Christoffel functions for weights with jumps. Zbl 1329.42023
Nevai, Paul; Totik, Vilmos
2015
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2015
Discrete entropy of generalized Jacobi polynomials. Zbl 1317.33006
Martínez-Finkelshtein, Andrei; Nevai, Paul; Peña, Ana
2015
The Bernstein inequality and the Schur inequality are equivalent. Zbl 1290.41007
Nevai, Paul; the anonymous referee
2014
In memoriam: Herbert Stahl (August 3, 1942–April 22, 2013). Zbl 1288.01029
Aptekarev, Alexander; Nevai, Paul; Totik, Vilmos
2014
Andrei Aleksandrovich Gonchar November 21, 1931 – October 10, 2012. Zbl 1279.01042
López Lagomasino, Guillermo; Finkelshtein, Andrei Martínez; Nevai, Paul; Saff, Edward B.
2013
Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis. Zbl 1281.93110
Mhaskar, Hrushikesh N.; Nevai, Paul; Shvarts, Eugene
2013
Denisov’s theorem on recurrence coefficients. Zbl 1061.42014
Nevai, Paul; Totik, Vilmos
2004
Szegö difference equations, transfer matrices and orthogonal polynomials on the unit circle. Zbl 0998.42015
Golinskii, Leonid; Nevai, Paul
2001
Large sieve estimates on arcs of a circle. Zbl 1174.11398
Golinskii, Leonid; Lubinsky, Doron S.; Nevai, Paul
2001
The mathematical contributions of Richard Askey. Zbl 0953.01015
Gasper, George; Ismail, Mourad E. H.; Koornwinder, Tom; Nevai, Paul; Stanton, Dennis
2000
Perturbation of orthogonal polynomials on an arc of the unit circle. II. Zbl 0958.42016
Golinskii, Leonid; Nevai, Paul; Pintér, Ferenc; van Assche, Walter
1999
Lower bounds for derivatives of polynomials and Remez type inequalities. Zbl 0884.33005
Erdélyi, Tamás; Nevai, Paul
1997
Schur functions and orthogonal polynomials on the unit circle. Zbl 0866.30010
Pintér, F.; Nevai, P.
1996
Gabor Szegö: 1895–1985. Zbl 0873.01030
1996
Perturbation of orthogonal polynomials on an arc of the unit circle. Zbl 0842.42013
Golinskij, Leonid; Nevai, Paul; Van Assche, Walter
1995
Generalized Jacobi weights, Christoffel functions, and Jacobi polynomials. Zbl 0805.33013
Nevai, Paul; Erdélyi, Tamás; Magnus, Alphonse P.
1994
Mean convergence of Hermite interpolation. Zbl 0806.41004
Nevai, Paul; Xu, Yuan
1994
Remarks on the $$(C,-1)$$-summability of the distribution of zeros of orthogonal polynomials. Zbl 0841.42011
Nevai, Paul; Van Assche, Walter
1994
Mean convergence of derivatives of extended Lagrange interpolation with additional nodes. Zbl 0814.41004
Criscuolo, Giuliana; Mastroianni, Guiseppe; Nevai, Paul
1993
Rate of relative growth of orthogonal polynomials. Zbl 0776.33004
Nevai, Paul; Zhang, John
1993
Orthogonal polynomials, recurrences, Jacobi matrices and measures. Zbl 0789.42016
Nevai, P.
1992
Compact perturbations of orthogonal polynomials. Zbl 0723.42009
Nevai, Paul; Van Assche, Walter
1992
Inequalities for generalized nonnegative polynomials. Zbl 0754.41008
Erdélyi, Tamás; Máté, Attila; Nevai, Paul
1992
Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials. Zbl 0756.42016
Erdélyi, Tamás; Nevai, Paul
1992
Sub-exponential growth of solutions of difference equations. Zbl 0723.39003
Lubinsky, Doron S.; Nevai, Paul
1992
Szegö’s extremum problem on the unit circle. Zbl 0752.42015
Máté, Attila; Nevai, Paul; Totik, Vilmos
1991
A simple proof of “Favard’s theorem” on the unit circle. Zbl 0753.33004
Erdélyi, Tamás; Nevai, Paul; Zhang, John; Geronimo, Jeffery S.
1991
The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators. Zbl 0731.42021
Máté, Attila; Nevai, Paul; Van Assche, Walter
1991
Mean convergence of derivates of Lagrange interpolation. Zbl 0745.41002
Mastroianni, Giuseppe; Nevai, Paul
1991
Orthogonal polynomials: Their growth relative to their sums. Zbl 0754.42013
Nevai, Paul; Zhang, John; Totik, Vilmos
1991
Weakly convergent sequences of functions and orthogonal polynomials. Zbl 0731.42020
Nevai, Paul
1991
Associated generalized Jacobi functions and polynomials. Zbl 0729.42014
Criscuolo, Giuliana; Mastroianni, Giuseppe; Nevai, Paul
1991
Progress in approximation theory. Zbl 0719.41001
Nevai, Paul (ed.); Pinkus, Allan (ed.)
1991
A generalization of Poincaré’s theorem for recurrence equations. Zbl 0715.34131
Máté, Attila; Nevai, Paul
1990
Hilbert transforms and Lagrange interpolation. Zbl 0701.41003
Nevai, Paul
1990
Orthogonal polynomials: theory and practice. Proceedings of the NATO Advanced Study Institute on orthogonal polynomials and their applications held in Columbus, Ohio, USA, May 22-June 3, 1989. With the assistance of Mourad E. H. Ismail. Zbl 0694.00015
Nevai, Paul (ed.)
1990
Necessary conditions for mean convergence of Hermite-Fejér interpolation. Zbl 0711.42010
Máté, Attila; Nevai, Paul
1990
Orthogonal polynomials and their zeros. Zbl 0691.42020
Nevai, Paul; Totik, Vilmos
1989
Research problems in orthogonal polynomials. Zbl 0725.33001
Nevai, Paul
1989
Characterization of measures associated with orthogonal polynomials on the unit circle. Zbl 0688.42021
Nevai, Paul
1989
Results on mean convergence of derivatives of Lagrange interpolation. Zbl 0738.41009
Nevai, Paul; Vértesi, Péter
1989
Some convergence estimates of a linear positive operator. Zbl 0706.41016
Criscuolo, G.; Mastroianni, G.; Nevai, P.
1989
Asymptotics for the solutions of systems of smooth recurrence equations and their applications to orthogonal polynomials. Zbl 0737.41032
Jha, Shing-Whu; Máté, Attila; Nevai, Paul
1989
Convergence of Hermite-Fejér interpolation at zeros of generalized Jacobi polynomials. Zbl 0721.41004
Nevai, Paul; Vértesi, Péter
1989
Eigenvalues of finite band-width Hilbert space operators and their application to orthogonal polynomials. Zbl 0666.42016
Máté, Attila; Nevai, Paul
1989
Asymptotic for solutions of systems of smooth recurrence equations. Zbl 0663.42024
Bauldry, William C.; Máté, Attila; Nevai, Paul
1988
Freud’s conjecture and approximation of reciprocals of weights by polynomials. Zbl 0646.41002
Knopfmacher, Arnold; Lubinsky, D. S.; Nevai, P.
1988
Twisted difference operators and perturbed Chebyshev polynomials. Zbl 0718.41007
Máté, Attila; Nevai, Paul; Totik, Vilmos
1988
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
Orthogonal polynomials and their derivatives. II. Zbl 0638.42023
Bonan, S.; Lubinsky, D. S.; Nevai, P.
1987
Quadrature sums involving pth powers of polynomials. Zbl 0623.41029
Lubinsky, D. S.; Maté, A.; Nevai, P.
1987
Extensions of Szegö’s theory of orthogonal polynomials. III. Zbl 0635.42024
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
Markov-Bernstein inequalities revisited. Zbl 0673.41007
Lubinsky, D. S.; Nevai, P.
1987
Orthogonal polynomials, measures and recurrences on the unit circle. Zbl 0658.42026
Nevai, Paul
1987
Sharp Nikolskij inequalities with exponential weights. Zbl 0659.41015
Nevai, P.; Totik, V.
1987
A new quadrature formula associated with the ultraspherical polynomials. Zbl 0638.41025
Nevai, Paul; Varma, A. K.
1987
Polynomial approximation with exponential weights. Zbl 0649.41009
Ditzian, Z.; Lubinsky, D. S.; Nevai, P.; Totik, V.
1987
Géza Freud, orthogonal polynomials and Christoffel functions. A case study. Zbl 0606.42020
Nevai, Paul
1986
Orthogonal polynomials, measures and recurrence relations. Zbl 0595.42011
Dombrowski, Joanne; Nevai, Paul
1986
Weighted polynomial inequalities. Zbl 0604.41014
Nevai, Paul; Totik, Vilmos
1986
Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials. Zbl 0605.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Asymptotics for the zeros of orthogonal polynomials associated with infinite intervals. Zbl 0639.42023
Máté, A.; Nevai, P.; Totik, V.
1986
Asymptotics for the greatest zeros of orthogonal polynomials. Zbl 0595.42010
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Oscillatory behavior of orthogonal polynomials. Zbl 0585.42024
Máté, Attila; Nevai, Paul; Totik, Vilmos
1986
Asymptotic expansions of recurrence coefficients of asymmetric Freud polynomials. Zbl 0613.41029
Bauldry, William; Máté, Attila; Nevai, Paul
1986
Derivatives of orthogonal polynomials and characterization of weights. Zbl 0613.42021
Bonan, S.; Lubinsky, D. S.; Nevai, P.
1986
Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
Mean convergence of Hermite-Fejér interpolation. Zbl 0567.41002
Nevai, Paul; Vértesi, Péter
1985
Asymptotic expansions of ratios of coefficients of orthogonal polynomials with exponential weights. Zbl 0536.42023
Máté, Attila; Nevai, Paul; Zaslavsky, Thomas
1985
Exact bounds for orthogonal polynomials associated with exponential weights. Zbl 0605.42019
Nevai, Paul
1985
Asymptotics for orthogonal polynomials defined by a recurrence relation. Zbl 0585.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
Asymptotics for solutions of smooth recurrence equations. Zbl 0574.42017
Máté, Attila; Nevai, Paul
1985
Orthogonal polynomials on infinite intervals. Zbl 0604.42022
Nevai, Paul
1985
Solution of Turán’s problem on divergence of Lagrange interpolation in $$L^ p$$ with $$p>2$$. Zbl 0562.41003
Nevai, Paul
1985
Extensions of Szegö’s theory of orthogonal polynomials. Zbl 0591.42016
Nevai, Paul
1985
Divergence of trigonometric lacunary interpolation. Zbl 0579.42005
Nevai, P.; Vértesi, P.
1985
Mean convergence of Lagrange interpolation. III. Zbl 0577.41001
Nevai, Paul
1984
Asymptotics for orthogonal polynomials associated with $$\exp (-x^ 4)$$. Zbl 0566.42016
Nevai, Paul
1984
Orthogonal polynomials and their derivatives. I. Zbl 0533.42015
Bonan, Stanford; Nevai, Paul
1984
A new class of orthogonal polynomials. Zbl 0572.42019
Nevai, Paul
1984
Sublinear perturbations of the differential equation $$y^{(n)}=0$$ and of the analogous difference equation. Zbl 0489.34035
Mate, Attila; Nevai, Paul
1984
Two of my favorite ways of obtaining asymptotics for orthogonal polynomials. Zbl 0628.33009
Nevai, Paul
1984
What is beyond Szegö’s theory of orthogonal polynomials? Zbl 0564.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
1984
Orthogonal polynomials and absolutely continuous measures. Zbl 0541.43001
Máté, Attila; Nevai, Paul
1983
Necessary and sufficient conditions relating the coefficients in the recurrence formula to the spectral function for orthogonal polynomials. Zbl 0517.42031
Geronimo, Jeffrey S.; Nevai, Paul G.
1983
Orthogonal polynomials associated with $$\exp (-x^ 4)$$. Zbl 0561.42013
Nevai, Paul
1983
Hermite-Fejér interpolation at zeros of generalized Jacobi polynomials. Zbl 0577.41003
Nevai, Paul; Vértesi, Peter
1983
Remarks on E. A. Rahmanov’s paper ”On the asymptotics of the ratio of orthogonal polynomials”. Zbl 0509.30029
Mate, A.; Nevai, P. G.
1982
Series of orthogonal polynomials as boundary values. Zbl 0469.33009
Walter, Gilbert G.; Nevai, Paul G.
1981
Mean convergence of Lagrange interpolation. II. Zbl 0469.41004
Nevai, Paul G.
1980
Bernstein’s inequality in $$L^p$$ for $$0<p<1$$ and $$(C,1)$$ bounds for orthogonal polynomials. Zbl 0416.42001
Mate, Attila; Nevai, Paul G.
1980
Bernstein’s inequality in $$L^p$$ for $$0<p<1$$ and $$(C, 1)$$ bounds for orthogonal polynomials. Zbl 0397.42001
Mate, Attila; Nevai, Paul G.
1980
Eigenvalue distribution of Toeplitz matrices. Zbl 0438.42016
Nevai, Paul G.
1980
Orthogonal polynomials. Zbl 0405.33009
Nevai, Paul G.
1979
...and 29 more Documents
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#### Cited by 740 Authors

 80 Lubinsky, Doron S. 52 Nevai, Paul G. 49 Marcellán Español, Francisco 41 Mastroianni, Giuseppe 35 Van Assche, Walter 22 Totik, Vilmos 20 Mhaskar, Hrushikesh N. 20 Simon, Barry 19 Erdélyi, Tamás 19 Vértesi, Péter 18 Saff, Edward Barry 17 Geronimo, Jeffrey S. 16 López Lagomasino, Guillermo Tomás 16 Martínez-Finkelshtein, Andrei 15 Criscuolo, Giuliana 14 Ismail, Mourad El-Houssieny 13 Peherstorfer, Franz 13 Shi, Yingguang 12 Moreno-Balcázar, Juan José 12 Occorsio, Donatella 11 Cachafeiro, Alicia 11 Máté, Attila 11 Ranga, A. Sri 10 Fejzullahu, Bujar Xh. 10 Golinskii, Leonid B. 10 Levin, Eli 10 Simanek, Brian Z. 9 Berriochoa, Elías 9 Chen, Yanping 9 Damelin, Steven Benjamin 9 Dehesa, Jesús S. 9 Della Vecchia, Biancamaria 8 Aptekarev, Alexander Ivanovich 8 Castillo, Kenier 8 Krasikov, Ilia 8 Narayan, Akil C. 8 Osilenker, Boris P. 8 Xu, Yuan 7 Branquinho, Amílcar José Pinto Lopes 7 Ditzian, Zeev 7 Notarangelo, Incoronata 7 Pan, Kegang 7 Rabinowitz, Philip 7 Russo, Maria Grazia 7 Varma, Arun Kumar 6 Alfaro, María Pilar 6 Bello Hernández, Manuel 6 Bracciali, Cleonice F. 6 Cantero, María José 6 Chen, Yang 6 Chihara, Theodore Seio 6 Denisov, Sergey A. 6 Duran, Antonio J. 6 Kwon, Kil Hyun 6 Magnus, Alphonse Ph. 6 Moral, Leandro 6 Pérez, Mario 6 Petronilho, José C. 6 Varona Malumbres, Juan Luis 6 Velázquez, Luis 6 Yang, Yin 5 Dette, Holger 5 González-Vera, Pablo 5 Guadalupe Hernández, José Javier (Chicho) 5 Ivanov, Kamen G. 5 Knopfmacher, Arnold 5 Kooman, Robert-Jan 5 Lasser, Rupert 5 Montaner, Jesús María 5 Njåstad, Olav 5 Piñar, Miguel A. 5 Pituk, Mihály 5 Rebocho, M. N. 5 Rezola, María Luisa 5 Szwarc, Ryszard 5 Veronese, Daniel O. 5 Wei, Yunxia 5 Zhou, Tao 4 Alfaro García, Manuel 4 Álvarez-Nodarse, Renato 4 Barrios Rolanía, D. 4 Breuer, Jonathan 4 Clarkson, Peter A. 4 Criscuolo, Giovanni 4 Damanik, David 4 De Bonis, Maria Carmela 4 Deift, Percy A. 4 Frammartino, Carmelina 4 Garza, Luis E. 4 Gautschi, Walter 4 Günttner, Rüdiger 4 Huang, Yunqing 4 Jordaan, Kerstin 4 Junghanns, Peter 4 Last, Yoram 4 Laurita, Concetta 4 Levin, A. L. 4 Li, Xin 4 López García, Abey 4 Lukic, Milivoje ...and 640 more Authors
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#### Cited in 153 Serials

 267 Journal of Approximation Theory 127 Journal of Computational and Applied Mathematics 64 Constructive Approximation 44 Journal of Mathematical Analysis and Applications 35 Acta Mathematica Hungarica 27 Mathematics of Computation 23 Calcolo 22 Proceedings of the American Mathematical Society 19 Transactions of the American Mathematical Society 17 Applied Mathematics and Computation 13 Advances in Mathematics 13 Numerical Algorithms 13 Linear Algebra and its Applications 12 Journal of Difference Equations and Applications 11 Acta Mathematica Academiae Scientiarum Hungaricae 11 Applied Numerical Mathematics 10 Journal d’Analyse Mathématique 10 Journal of Mathematical Physics 9 Computers & Mathematics with Applications 9 Rocky Mountain Journal of Mathematics 9 Journal of Functional Analysis 9 Indagationes Mathematicae. New Series 8 Integral Transforms and Special Functions 7 BIT 7 Numerical Functional Analysis and Optimization 7 Advances in Computational Mathematics 6 Communications in Mathematical Physics 6 Journal of Computational Physics 6 Mathematical Notes 6 Numerische Mathematik 6 Computational Methods and Function Theory 6 Random Matrices: Theory and Applications 5 Analysis Mathematica 5 Acta Applicandae Mathematicae 5 Journal of Inequalities and Applications 4 Israel Journal of Mathematics 4 Mathematische Nachrichten 4 Journal of Scientific Computing 4 Journal of Integral Equations and Applications 4 Journal of Spectral Theory 3 Ukrainian Mathematical Journal 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Journal of Complexity 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Sbornik: Mathematics 3 The Ramanujan Journal 3 Frontiers of Mathematics in China 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Computer Methods in Applied Mechanics and Engineering 2 Periodica Mathematica Hungarica 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Differential Equations 2 Journal of Soviet Mathematics 2 Mathematika 2 Quaestiones Mathematicae 2 Results in Mathematics 2 Studies in Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 SIAM Journal on Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Annals of Mathematics. Second Series 2 The ANZIAM Journal 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis in Theory and Applications 2 Mediterranean Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 Proceedings of the Steklov Institute of Mathematics 2 Bulletin of Mathematical Sciences 2 SIAM/ASA Journal on Uncertainty Quantification 1 Communications on Pure and Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Physica A 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Automatica 1 Functional Analysis and its Applications 1 International Journal of Circuit Theory and Applications 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal of Econometrics 1 Journal of Multivariate Analysis 1 Journal of Number Theory 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series ...and 53 more Serials
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#### Cited in 42 Fields

 496 Harmonic analysis on Euclidean spaces (42-XX) 375 Approximations and expansions (41-XX) 306 Special functions (33-XX) 176 Numerical analysis (65-XX) 108 Functions of a complex variable (30-XX) 68 Operator theory (47-XX) 54 Difference and functional equations (39-XX) 45 Real functions (26-XX) 44 Integral equations (45-XX) 43 Ordinary differential equations (34-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 34 Probability theory and stochastic processes (60-XX) 20 Sequences, series, summability (40-XX) 20 Functional analysis (46-XX) 17 Statistics (62-XX) 16 Potential theory (31-XX) 13 Quantum theory (81-XX) 12 History and biography (01-XX) 12 Number theory (11-XX) 12 Partial differential equations (35-XX) 12 Information and communication theory, circuits (94-XX) 8 Measure and integration (28-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral transforms, operational calculus (44-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Combinatorics (05-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Computer science (68-XX) 4 Abstract harmonic analysis (43-XX) 4 Systems theory; control (93-XX) 3 Fluid mechanics (76-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX)