Constructive characterization of classes of continuous functions on a set $$\mathfrak{M} \subset C$$ for the K-th modulus of continuity-Reference-Cited by-同舟云学术

Constructive characterization of classes of continuous functions on a set $$\mathfrak{M} \subset C$$ for the K-th modulus of continuity

Published:1979-02 Issue:2 Volume:25 Page:117-129
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:

Shevchuk I. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01142722.pdf

Reference24 articles.

1. V. K. Dzyadyk, ?On the theory of approximation of functions on closed sets of the complex plane (apropos of a problem of S. M. Nikol'skii),? Tr. Mat. Inst. Akad. Nauk SSSR,134, 63?114 (1975).

2. V. K. Dzyadyk, ?Application of methods of the theory of quasiconformal mappings to obtain direct theorems of approximation of functions,? Dokl. Akad. Nauk SSSR,225, No. 3, 491?494 (1975).

3. N. K. Bari and S. B. Stechkin, ?Best approximations and differential properties of two conjugate functions,? Tr. Mosk. Mat. Obshch.,5, 483?522 (1956).

4. J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Am. Math. Soc., Providence (1966).

5. S. Ya. Al'per, ?On uniform approximation of functions of a complex variable in closed domains,? Izv. Akad. Nuak SSSR, Ser. Mat.,19, No. 6, 423?444 (1955).

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