Jackson-Type Inequalities in the Spaces S(p,q) (σm−1)


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Abstract

In the case of approximation of functions by using linear methods of summation of their Fourier-Laplace series in the spaces S(p,q) (σm−1), m ≥ 3, for classes of functions defined by transformations of their Fourier-Laplace series using multipliers, Jackson-type inequalities are established in terms of operators which are also defined by the corresponding transformations of the Fourier-Laplace series.

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R. A. Lasuriya

Abkhaz University

Author for correspondence.
Email: rlasuria67@yandex.ru
Georgia, Sukhum, 384904 Abkhazia

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