Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients

A. S. Serdyuk, I. V. Sokolenko

Published 2017-03-27Version 1

We calculate the least upper bounds of pointwise and uniform approximations for classes of $2\pi$-periodic functions expressible as convolutions of an arbitrary square summable kernel with functions, which belong to the unit ball of the space $L_2$, by linear polynomial methods constructed on the basis of their Fourier-Lagrange coefficients.