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

Abstract

In this paper estimates 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 understanding A.~I.~Stepanets are found. The sequence $\bar{\psi}=(\psi_1,\psi_2)$ the conditions of Boas-Telyakovskij are satisfy