On convergence of odd trigonometric interpolation polynomials with equidistant points in the metric L-Reference-Cited by-同舟云学术

On convergence of odd trigonometric interpolation polynomials with equidistant points in the metric L

Published:2016-12 Issue:4 Volume:42 Page:371-385
ISSN:0133-3852
Container-title:Analysis Mathematica
language:en
Short-container-title:Anal Math

Author:

Kolesnikov V. S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10476-016-0405-5.pdf

Reference7 articles.

1. L. A. Balashov and S. A. Telyakovsky, Some properties of lacunary series and the integrability of trigonometric series, Trudy Mat. Inst. Steklov., 143 (1977), 32–41 (in Russian); English translation: Proc. Steklov Inst. Math., 143 (1980), 33–43.

2. N. K. Bary, Trigonometric Series, Fizmatgiz (Moscow, 1961) (in Russian); English translation: A Treatise on Trigonometric Series, The Macmillan Co. (New York, 1964).

3. E. Hille and J. D. Tamarkin, On the summability of Fourier series. II, Ann. Math., 34 (1933), 329–348.

4. V. S. Kolesnikov, On convergence of even trigonometrical interpolational polynomials with equidistant points in metric L, Anal. Math., 40 (2014), 117–132.

5. B. Sz.-Nagy, Über gewisse Extremalfragen bei transformierten trigonometrischen Entwicklungen. I. Periodischer Fall, Ber. Verh. Sächs. Akad. Wiss. Leipzig, 90 (1938), 103–134.

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