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. doi:10.1007/BF01091584

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. doi:10.1007/BF01085405


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

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

Krein M.G., Nudelman A.A. Problem of Markov moments and extremal problems, 1973.




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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