On a constructive characterization of functions from the classes DrH?2(t) on closed sets with a piecewise smooth boundary-Reference-Cited by-同舟云学术

On a constructive characterization of functions from the classes DrH?2(t) on closed sets with a piecewise smooth boundary

Published:1973 Issue:1 Volume:25 Page:66-73
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Shevchuk I. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01085394.pdf

Reference17 articles.

1. V. K. Dzyadyk, ?On a problem of S. M. Nikol'skii in a complex domain,? Izv. Akad. Nauk SSSR, Ser. Matem.,23, No. 4 (1959).

2. V. K. Dzyadyk, ?On the problem of approximating continuous functions in closed domains with corners, and a problem of S. M. Nikol'skii (first communication),? Izv. Akad. Nauk SSSR, Ser. Matem.,26, No. 6 (1962).

3. V. K. Dzyadyk, ?On the theory of approximation of analytic functions, which are continuous in closed domains, and a problem of S. M. Nikol'skii (second communication),? Izv. Akad. Nauk SSSR, Ser. Matem.,27, No. 5 (1963).

4. V. K. Dzyadyk, ?Inverse theorems in the theory of approximation of functions in complex domains,? Ukrainsk. Matem. Zh.,15, No. 4, 365?375 (1963).

5. V. K. Dzyadyk, ?On analytic and harmonic transformations and the approximation of harmonic functions,? Ukrainsk. Matem. Zh.,19, No. 5 (1967).

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1. Properties of dzyadyk's polynomial kernels;Ukrainian Mathematical Journal;1985

2. Approximation of functions, defined by smoothnesses of the k-th order, in domains with piecewise-quasiconformal boundary;Ukrainian Mathematical Journal;1982-05

3. Constructive characterization of classes of continuous functions on a set $$\mathfrak{M} \subset C$$ for the K-th modulus of continuity;Mathematical Notes of the Academy of Sciences of the USSR;1979-02