Best approximation of holomorphic functions from hardy space in terms of taylor coefficients

ABDULLAYEV F., Abdullayev G., Savchuk V.

Filomat, vol.33, no.5, pp.1417-1424, 2019 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1905417a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1417-1424
  • Keywords: Best approximation, Coefficients of holomorphic functions, Hardy space
  • Uşak University Affiliated: No

Abstract

We describe the set of holomorphic functions from the Hardy space Hq, 1 ≤ q ≤ ∞, for which the best polynomial approximation En ( f )q is equal to | f(n) (0)|/n!.