Approximation by linear methods of classes of $(ψ,\barβ)-$differentiable functions

A. S. Serdyuk, I. V. Sokolenko

Published 2013-03-06Version 1

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 $L^\psi_{\bar\beta,1}$ defined by sequences of multipliers $\psi=\psi(k)$ and shifts of argument $\bar\beta=\beta_k$.