2017
Том 69
№ 9

# Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$

Vakarchuk S. B.

Abstract

In the spaces $S^p , 1 ≤ p < ∞$, introduced by Stepanets, we obtain exact Jackson-type inequalities and compute the exact values of widths of classes of functions determined by averaged moduli of continuity of order $m$.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 5, pp 718–729.

Citation Example: Vakarchuk S. B. Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ // Ukr. Mat. Zh. - 2004. - 56, № 5. - pp. 595–605.

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