Approximative properties of the Weierstrass integrals on the classes Wβr

Uliana Z. Grabova*, Inna V. Kal’chuk, Tetiana A. Stepaniuk

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

The work focuses on the solution of a problem of approximation theory. The task is to investigate approximative properties of the Weierstrass integrals on the classes WβrHα. We obtain asymptotic equalities for the upper borders of defluxion of functions from the classes WβrHα from the Weierstrass integrals.

Original languageEnglish
Pages (from-to)41-47
Number of pages7
JournalJournal of Mathematical Sciences (United States)
Volume231
Issue number1
DOIs
Publication statusPublished - 1 May 2018

Keywords

  • Kolmogorov–Nikolskii problem
  • Lipschitz condition
  • Weierstrass integral
  • Weyl–Nagy class

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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