Approximation Characteristics of Spaces $S_\phi ^p$
We introduce linear vector spaces $S_\phi ^p$ and study their approximation properties. By using the general results obtained, we establish statements concerning the approximation of classes of periodic functions of many variables by trigonometric polynomials.
English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 3, pp 446–475.
Citation Example: Stepanets O. I. Approximation Characteristics of Spaces $S_\phi ^p$ // Ukr. Mat. Zh. - 2001. - 53, № 3. - pp. 392-416.