Orthogonal polynomials: Their growth relative to their sums

DOI10.1016/0021-9045(91)90019-7zbMath0754.42013OpenAlexW1985114948MaRDI QIDQ1185538

John Zhang, Vilmos Totik, Paul G. Nevai

Publication date: 28 June 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90019-7

zbMATH Keywords

orthogonal polynomialsuniform convergencethree-term recurrence relationrelative growth

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Selective approximate identities for orthogonal polynomial sequences., Chain sequences and compact perturbations of orthogonal polynomials, On Christoffel Functions and Related Quantities for Compactly Supported Measures, A counterexample to subexponential growth of orthogonal polynomials, Asymptotic behaviour of orthogonal polynomials relative to measures with mass points, The Nevai condition and a local law of large numbers for orthogonal polynomial ensembles, Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials, On a problem by Steklov, The growth of polynomials orthogonal on the unit circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty( {\mathbb{T}})$, The Nevai condition, Universality for locally Szegő measures, Relative growth of linear iterations and orthogonal polynomials on several intervals, Discrete entropy of generalized Jacobi polynomials, Remark on the formula by Rakhmanov and Steklov's conjecture

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