Strong Asymptotics for Extremal Polynomials Associated with Weights on ℝ

  • Authors
  • Doron S. Lubinsky
  • Edward B. Saff

Part of the Lecture Notes in Mathematics book series (LNM, volume 1305)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Doron S. Lubinsky, Edward B. Saff
    Pages 1-11
  3. Doron S. Lubinsky, Edward B. Saff
    Pages 12-16
  4. Doron S. Lubinsky, Edward B. Saff
    Pages 17-23
  5. Doron S. Lubinsky, Edward B. Saff
    Pages 24-27
  6. Doron S. Lubinsky, Edward B. Saff
    Pages 28-39
  7. Doron S. Lubinsky, Edward B. Saff
    Pages 40-48
  8. Doron S. Lubinsky, Edward B. Saff
    Pages 49-56
  9. Doron S. Lubinsky, Edward B. Saff
    Pages 57-66
  10. Doron S. Lubinsky, Edward B. Saff
    Pages 67-72
  11. Doron S. Lubinsky, Edward B. Saff
    Pages 73-79
  12. Doron S. Lubinsky, Edward B. Saff
    Pages 80-90
  13. Doron S. Lubinsky, Edward B. Saff
    Pages 91-110
  14. Doron S. Lubinsky, Edward B. Saff
    Pages 111-119
  15. Doron S. Lubinsky, Edward B. Saff
    Pages 120-127
  16. Doron S. Lubinsky, Edward B. Saff
    Pages 128-135
  17. Doron S. Lubinsky, Edward B. Saff
    Pages 136-145
  18. Back Matter
    Pages 146-153

About this book

Introduction

0. The results are consequences of a strengthened form of the following assertion: Given 0 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.

Keywords

DEX Finite Sharp approximation approximation theory boundary element method complex analysis eXist equation extrema form integral integral equation orthogonal polynomials proof

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0082413
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-18958-9
  • Online ISBN 978-3-540-38857-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book