Eli Levin, Doron S. Lubinsky

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer International Publishing
• Erscheinungstermin: 13. Februar 2018
• Englisch
• ISBN-13: 9783319729473
• Artikelnr.: 52939173

Autorenporträt

Inhaltsangabe

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Introduction.- Statement of Main Results.- Potential Theoretic Estimates.- Restricted Range Inequalities.- Bounds for Christoffel Functions.- Spacing of Zeros.- Bounds on Orthogonal Polynomials.- Markov-Bernstein Inequalities in L.- Discretization of Potentials.- Derivatives of Discretized Polynomials.- Weighted Polynomial Approximations.- Formulae Involving Bernstain-Szego Polynomials.- Asymptotics of Orthonormal Polynomials.- Further Bounds.- Universality Limits and Entropy Integrals.

Rezensionen

"This book is written by two well-reputed specialists on orthogonal polynomials. Thus, It will be of great interest to those studying orthogonal polynomials, as well as Ph.D. students specializing in this or related areas. The structure of the text is nice. In fifteen short chapters the authors provide us with the statement of the results and their corresponding proofs in a rigorous and precise way." (Juan José Monero-Balcázar, Mathematical Reviews, October, 2018)