Characterization of the best integral approximant of multivariable functions

V.M. Traktynska (Dnipropetrovsk National University)


We obtain the criterion of the best approximant for multivariable functions in $$$L_{p_1,\ldots p_n}$$$ space.


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


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