### The criterion of the best approximant for the multivariable functions in the space $$$L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$$$

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Kostyuk O.D., Traktyns'ka V.M., Tkachenko M.Ye. "Criterion of the best approximant for multivariable functions in spaces $$$L_{1,p_2,...,p_n}$$$ and $$$L_{p_1,...,p_{n-1},1}$$$", *Dnipr. Univ. Math. Bull.*, 2016; 21: pp. 44-51. (in Ukrainian)

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)

Smirnov G.S. "Criterion of polynomial of the best approximation in spaces $$$L_{p;1}$$$, $$$L_{1;q}$$$", *Ukrainian Math. J.*, 1973; 25(3): pp. 415-419. (in Russian)

Traktyns'ka V.M. "Characterization of the best integral approximant of multivariable functions", *Dnipr. Univ. Math. Bull.*, 2007; 12: pp. 134-136. (in Russian)

DOI: https://dx.doi.org/10.15421/241812

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