Approximation of the Classes Cβψ H α By Biharmonic Poisson Integrals

ABDULLAYEV F., Kharkevych Y. I.

Ukrainian Mathematical Journal, vol.72, no.1, pp.21-38, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 72 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1007/s11253-020-01761-6
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.21-38
  • Uşak University Affiliated: No

Abstract

We study the problem of approximation of functions (ψ, β)-differentiable (in the Stepanets sense) whose (ψ, β)-derivative belongs to the class Hα by biharmonic Poisson integrals in the uniform metric.