Akhiezer's orthogonal polynomials and Bernstein-Szegő method for a circular arc

DOI10.1006/jath.1998.3197zbMath0916.42016OpenAlexW2074276198MaRDI QIDQ1273410

Leonid B. Golinskii

Publication date: 14 July 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3197

zbMATH Keywords

orthogonal polynomialsBernstein polynomialsstrong asymptotics

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Freud equations for Legendre polynomials on a circular arc and solution of the Grünbaum-Delsarte-Janssen-Vries problem., Universality limits involving orthogonal polynomials on an arc of the unit circle, Universality at an endpoint for orthogonal polynomials with Geronimus-type weights, On the zeros of orthogonal polynomials on the unit circle, Mean convergence of Fourier-Akhiezer-Chebyshev series, The Christoffel function for orthogonal polynomials on a circular arc, Universality limits involving orthogonal polynomials on the unit circle, \(L_p\) Markov-Bernstein inequalities on arcs of the circle, Schur's algorithm, orthogonal polynomials, and convergence of Wall's continued fractions in \(L^2(\mathbb{T})\)., Classification theorems for general orthogonal polynomials on the unit circle, \(L_{p}\) Markov-Bernstein inequalities on all arcs of the circle, Critical points of orthogonal polynomials, Strong asymptotic behavior and weak convergence of polynomials orthogonal on an arc of the unit circle, Large sieve estimates on arcs of a circle., \(L_p\) Christoffel functions, \(L_p\) universality, and Paley-Wiener spaces

Cites Work

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