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

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In the spaces Sp, 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.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 5, pp. 595–605, May, 2004.

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Vakarchuk, S.B. Jackson-type inequalities and exact values of widths of classes of functions in the spaces Sp, 1 ≤ p < ∞. Ukr Math J 56, 718–729 (2004). https://doi.org/10.1007/s11253-005-0070-5

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  • DOI: https://doi.org/10.1007/s11253-005-0070-5

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