Best bilinear approximations of the classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables
Abstract
We obtain exact-order estimates of the best bilinear approximations of classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables in the space $L_q$ for some relations between parameters $p, q, \theta$.
English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 6, pp 940-961.
Citation Example: Solich K. V. Best bilinear approximations of the classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables // Ukr. Mat. Zh. - 2011. - 63, № 6. - pp. 809-826.
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