Lebesgue type inequalities for the de la Vallée Poussin sums and their interpolation analogues on classes of $(\psi,\bar{\beta})$-differentiable functions

• Date: 2013
• Main Authors: Voĭtovych, V. A., Musienko, A. P., Войтович, В. А., Мусієнко, А. П.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/138
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain the estimates of norm of deviations of the de Vall\'{e}e Poussin sums and interpolation analogues of sums of Vall\'{e}e Poussin from the functions that belong to the space $C_{\bar{\beta}}^\psi L_s, \ 1\leq s\leq\infty$ and are represented by the...