Approximative properties of the Weierstrass integrals on the classes   \( {W}_{\beta}^r{H}^{\alpha } \)

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 \( {W}_{\beta}^r{H}^{\alpha } \)

Authors: Grabova U.Z.¹, Kal’chuk I.V.¹, Stepaniuk T.A.²
Affiliations:
1. Lesya Ukrainka Eastern European National University
2. Graz University of Technology
Issue: Vol 231, No 1 (2018)
Pages: 41-47
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/241074
DOI: https://doi.org/10.1007/s10958-018-3804-2
ID: 241074

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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 \( {W}_{\beta}^r{H}^{\alpha } \). We obtain asymptotic equalities for the upper borders of defluxion of functions from the classes \( {W}_{\beta}^r{H}^{\alpha } \) from the Weierstrass integrals.