The complete asymptotic expansion for the measure of approximation of Abel-Poisson's singular integral for Lip 1-Reference-Cited by-同舟云学术

The complete asymptotic expansion for the measure of approximation of Abel-Poisson's singular integral for Lip 1

Published:1973-01 Issue:1 Volume:13 Page:14-18
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Stark �. L.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01093622.pdf

Reference21 articles.

1. S. M. Nikol'skii, ?The asymptotic behavior of the remainder in the approximation of functions satisfying a Lipschitz condition by Fejer sums,? Izv. Akad. Nauk SSSR, Ser. Matem.,4, 501?508 (1940).

2. P. L. Butzer and R. J. Nessel, Fourier Analysis and Approximation, Vol. 1, One-dimensional Theory, Academic Press (1971).

3. I. P. Natanson, ?The order of approximation of a continuous 2?-periodic function using its Poisson integral,? Dokl. Akad. Nauk SSSR,72, 11?14 (1950).

4. R. Taberski, ?On singular integrals,? Ann. Polon. Math.,4, 249?268 (1958).

5. R. G. Mamedov, ?The order and the asymptotic value of the approximation of functions by positive linear operators,? Izv. Akad. Nauk AzerbSSR, Ser. Fiz.-Matem. Tekhn., No. 2, 27?39 (1961).

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