Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric-Reference-Cited by-同舟云学术

Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric

Published:2009-11 Issue:11 Volume:61 Page:1757-1779
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/s11253-010-0311-0.pdf

Reference11 articles.

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

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

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

4. A. I. Stepanets, Methods of Approximation Theory [in Russian], Vol. 1, Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (2002).

5. B. Sz.-Nagy, “Über gewisse Extremalfragen bei transformierten trigonometrischen Entwicklungen. I,” Berichte Akad. Wiss., 90, 103–134 (1938).

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