Widths of Functional Classes Defined by the Majorants of Generalized Moduli of Smoothness in the Spaces Sp

ABDULLAYEV F., Serdyuk A., Shidlich A.

Ukrainian Mathematical Journal, vol.73, no.6, pp.841-858, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.1007/s11253-021-01963-6
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.841-858
  • Uşak University Affiliated: No

Abstract

We obtain exact Jackson-type inequalities in terms of the best approximations and averaged values of the generalized moduli of smoothness in the spaces Sp. For classes of periodic functions defined by certain conditions imposed on the average values of the generalized moduli of smoothness, we determine the exact values of the Kolmogorov, Bernstein, linear, and projective widths in the spaces Sp.