Orthogonal Polynomials for Exponential Weights by Eli Levin, Doron S. Lubinsky.

The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly will continue to grow in importance in the future. In this monograph, the authors investigate orthogonal polynomials for exponential weights define...

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Bibliographic Details
Main Authors: Levin, Eli (Author), Lubinsky, Doron S. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction and Results
  • 2 Weighted Potential Theory: The Basics
  • 3 Basic Estimates for Q, at
  • 4 Restricted Range Inequalities
  • 5 Estimates for Measure and Potential
  • 6 Smoothness of ?t
  • 7 Weighted Polynomial Approximation
  • 8 Asymptotics of Extremal Errors
  • 9 Christoffel Functions
  • 10 Markov-Bernstein and Nikolskii Inequalities
  • 11 Zeros of Orthogonal Polynomials
  • 12 Bounds on Orthogonal Polynomials
  • 13 Further Bounds and Applications
  • 14 Asymptotics of Extremal Polynomials
  • 15 Asymptotics of Orthonormal Polynomials
  • B Bernstein-Szegö Orthogonal Polynomials
  • Notes
  • References
  • List of Symbols.