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Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L 2 . II

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Ukrainian Mathematical Journal Aims and scope

In the space L 2 , we determine the exact values of some n-widths for the classes of functions such that the generalized moduli of continuity of their (ψ, β)-derivatives or their weighted means do not exceed the values of the majorants Φ satisfying certain conditions. Specific examples of realization of the obtained results are also analyzed.

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  1. Nobel Dnepropetrovsk University, Dnepropetrovsk, Ukraine

    S. B. Vakarchuk

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  1. S. B. Vakarchuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 8, pp. 1021–1036, August, 2016.

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Vakarchuk, S.B. Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L 2 . II. Ukr Math J 68, 1165–1183 (2017). https://doi.org/10.1007/s11253-017-1285-y

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  • DOI: https://doi.org/10.1007/s11253-017-1285-y

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