Details

Autor(en) / Beteiligte

• Yu.I. Kharkevych
• T.A. Stepaniuk

Titel

Approximate properties of Abel-Poisson integrals on classes of differentiable functions defined by moduli of continuity

Ist Teil von

• Karpats'kì matematinì publìkacìï, 2023-06, Vol.15 (1), p.286-294

Ort / Verlag

Vasyl Stefanyk Precarpathian National University

Erscheinungsjahr

2023

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• The paper deals with the problem of approximation in the uniform metric of $W^{1}H_{\omega}$ classes using one of the classical linear summation methods for Fourier series given by a set of functions of a natural argument, namely, using the Abel-Poisson integral. At the same time, emphasis is placed on the study of the asymptotic behavior of the exact upper limits of the deviations of the Abel-Poisson integrals from the functions of the mentioned class.