2019
Том 71
№ 11

# Approximation Characteristics of Spaces $S_\phi ^p$

Stepanets O. I.

Abstract

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.

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