On a solution of the Kolmogorov-Nikol’skii problem in class of ?¯-integrals

Abstract

In this paper, we investigate the problem of approximation of classes C?¯? introduced by A. I. Stepanets by the generalized Zygmund sums. Especially, we obtain asymptotic equalities that give a solution of the Kolmogorov-Nikol’skii problem for the generalized Zygmund sums on the classes C?¯? in several important cases. © Palestine Polytechnic University-PPU 2023.