2017
Том 69
№ 5

All Issues

Best Bilinear Approximations for the Classes of Functions of Many Variables

Romanyuk A. S., Romanyuk V. S.

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Abstract

We obtain upper bounds for the values of the best bilinear approximations in the Lebesgue spaces of periodic functions of many variables from the Besov-type classes. In special cases, it is shown that these bounds are order exact.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 12, pp 1862-1882.

Citation Example: Romanyuk A. S., Romanyuk V. S. Best Bilinear Approximations for the Classes of Functions of Many Variables // Ukr. Mat. Zh. - 2013. - 65, № 12. - pp. 1681–1699.

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