2018
Том 70
№ 4

# Problems of approximation theory in linear spaces

Stepanets O. I.

Abstract

We present a survey of results related to the approximation characteristics of the spaces $S^{\rho}_{\varphi}$ and their generalizations. The proposed approach enables one to obtain solutions of problems of classical approximation theory in abstract linear spaces in explicit form. The results obtained yield statements that are new even in the case of approximations in the functional Hilbert spaces $L_2$.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 1, pp 54-102.

Citation Example: Stepanets O. I. Problems of approximation theory in linear spaces // Ukr. Mat. Zh. - 2006. - 58, № 1. - pp. 47–92.

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