Approximation of functions from the class $ C_{\beta, \infty }^\psi $ by Poisson integrals in the uniform metric-Reference-Cited by-同舟云学术

Approximation of functions from the class $ C_{\beta, \infty }^\psi $ by Poisson integrals in the uniform metric

Published:2009-12 Issue:12 Volume:61 Page:1893-1914
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Zhyhallo T. V.,Kharkevych Yu. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-010-0321-y.pdf

Reference8 articles.

1. N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).

2. A. Zygmund, Trigonometric Series [Russian translation], Vol. 1, Mir, Moscow (1965).

3. A. I. Stepanets, Classes of Periodic Functions and Approximation of Their Elements by Fourier Sums [in Russian], Preprint No. 83.10, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1983).

4. A. I. Stepanets, “Deviations of Fourier sums on classes of infinitely differentiable functions,” Ukr. Mat. Zh., 36, No. 6, 750–758 (1984).

5. A. I. Stepanets, Classification and Approximation of Periodic Functions [in Russian], Naukova Dumka, Kiev (1987).

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