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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 L2. II

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In the space L2, 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… Click to show full abstract

In the space L2, 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.

Keywords: values widths; continuity; widths classes; jackson type; exact values; type inequalities

Journal Title: Ukrainian Mathematical Journal
Year Published: 2017

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