Criterion of the best non-symmetric approximant in spaces with mixed integral metric

V.M. Traktynska (Dnipropetrovsk State University)

Abstract


We obtain the criterion of the best non-symmetric approximant for two-variable functions in spaces with mixed integral metric.

References


Babenko V.F. "Non-symmetric approximations in spaces of integrable functions", Ukrainian Math. J., 1982; 34(4); pp. 409-416. (in Russian) doi:10.1007/BF01091584

Babenko V.F. Extremal problems of approximation theory and non-symmetric norms, 1989. (in Russian)

Korneichuk N.P. Exact constants in approximation theory, Nauka, 1987. (in Russian)

Krein M.G., Nudelman A.A. Problem of Markov moments and extremal problems, 1973. (in Russian)

Smirnov G.S. "General form of linear functional and criterion of polynomial of the best approximation in spaces with mixed integral metric", Ukrainian Math. J., 1973; 25(1): pp. 134-138. (in Russian) doi:10.1007/BF01085405




DOI: https://doi.org/10.15421/249817

  

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Copyright (c) 1998 V.M. Traktynska

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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