Best Bilinear Approximations for the Classes of Functions of Many Variables
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.