Approximative properties of the Weierstrass integrals on the classes WβrHα

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

doi:10.1007/s10958-018-3804-2

Approximative properties of the Weierstrass integrals on the classes Wβr^Hα

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

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	41-47
Number of pages	7
Journal	Journal of Mathematical Sciences (United States)
Volume	231
Issue number	1
DOIs	https://doi.org/10.1007/s10958-018-3804-2
Publication status	Published - 1 May 2018

Keywords

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

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

Access to Document

10.1007/s10958-018-3804-2

Cite this

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