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

• Date: 2013
• Main Authors: Gayevs’kyĭ, M. V., Zadereĭ, P. V., Гаєвський, М. В., Задерей, П. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/139
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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 sa...