The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane

Özkartepe P., ABDULLAYEV F.

Hacettepe Journal of Mathematics and Statistics, vol.48, no.1, pp.87-101, 2019 (SCI-Expanded, Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.15672/hjms.2018.639
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.87-101
  • Keywords: Algebraic polynomials, Conformal mapping, Quasicircle
  • Uşak University Affiliated: No

Abstract

The estimation of the modulus of algebraic polynomials on the boundary contour with weight function, having some singularities, with respect to the their quasinorm, on the weighted Lebesgue space was studied in this current work.