On the interference of the weight and boundary contour for orthogonal polynomials over the region

ABDULLAYEV F.

Journal of Computational Analysis and Applications, vol.6, no.1, pp.31-41, 2004 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2004
  • Journal Name: Journal of Computational Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.31-41
  • Keywords: Conformal mapping, Orthogonal polynomials, Quasicircle, Quasiconformal mapping, Weight function
  • Uşak University Affiliated: No

Abstract

In this work the estimation of the maximum norm of orthogonal polynomials over the region with respect to the weight is analized.It is observed that the norm of polynomials does not change for the conditions of weight and boundary curve. Copyright 2004 Eudoxus Press, LLC.