Interference of the Weight and Boundary Contour for Algebraic Polynomials in Weighted Lebesgue Spaces. I

Özkartepe P., ABDULLAYEV F.

Ukrainian Mathematical Journal, vol.68, no.10, pp.1574-1590, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 68 Issue: 10
  • Publication Date: 2017
  • Doi Number: 10.1007/s11253-017-1313-y
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1574-1590
  • Uşak University Affiliated: No

Abstract

We study the order of height for the modulus of arbitrary algebraic polynomials with respect to weighted Lebesgue spaces in which the contour and weight functions have certain singularities.