Polynomial inequalities in regions with corners in the weighted Lebesgue spaces

ABDULLAYEV F.

Filomat, vol.31, no.18, pp.5647-5670, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 18
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1718647a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5647-5670
  • Keywords: Algebraic polynomials, Cmooth curve, Conformal mapping, Orthogonal polynomials, Quasicircle
  • Uşak University Affiliated: No

Abstract

In this work, we investigate the order of the growth of the modulus of orthogonal polynomials over a contour and also arbitrary algebraic polynomials in regions with corners in a weighted Lebesgue space, where the singularities of contour and the weight functions satisfy some condition.