Approximation by linear methods of classes of $(\psi ,\bar{\beta })-$differentiable functions

Abstract

We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L_{\bar{\beta },1}^{\psi }$ defined by sequences of multipliers $\psi =\psi (k)$ and shifts of argument $\bar{\beta }={\beta }_k$.

arXiv comment8 pages, in Russian