2019
Том 71
№ 2

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Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics

Stepanets O. I.

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Abstract

We continue the investigation of the approximation characteristics of the spaces $S_p^{ϕ}$ introduced earlier. In particular, we establish direct and inverse theorems on the approximation of elements of these spaces. We also determine the exact values of upper bounds of $m$-term approximations of $q$-ellipsoids in the spaces $S_p^{ϕ}$ in the metrics of the spaces $S_p^{ϕ}$.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 8, pp 1340–1374.

Citation Example: Stepanets O. I. Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics // Ukr. Mat. Zh. - 2001. - 53, № 8. - pp. 1121-1146.

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