On Lebesgue continuity on classes of $\bar{\psi}$-differentiable functions.

In this paper estimates group of deviations of Fourier sums on the spaces $C^{\bar{\psi}}$ expressed in terms of the best approximation of $\bar{\psi}$-derivatives of functions in the sense of A.I.Stepanets are found. The sequence $\bar{\psi}=(\psi_1,\psi_2)$ are quasi-convex

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Bibliographic Details
Date:2014
Main Authors: Gayevs’kyĭ, M. V., Гаєвський, М. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2014
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/67
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine