Characterization of the best non-symmetric approximant in spaces with mixed integral metric
Abstract
The criterion of the best non-symmetric approximant for functions of many variables in the spaces with mixed integral metric is obtained.
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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
Korneichuk N.P. Exact constants in approximation theory, Nauka, 1987.
Traktynska V.M. "Characterization of the best integral approximant of multivariable functions", Res. Math., 2007; 12: pp. 134-136.
Traktynska V.M. "Criterion of the best non-symmetric approximant in spaces with mixed integral metric", Res. Math., 1998; 3: pp. 119-122.
DOI: https://doi.org/10.15421/240902
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