Estimates of convolution operators of functions from $L_{2\pi}^{p(x)}$
Classical Analysis and ODEs
2019-04-08 v1
Abstract
We generalize and slight improve the result of I. I. Sharapudinov [Mat. Zametki, 1996, Volume 59, Issue 2, 291--302]. Some applications to the de la Vall\'{e}e Poussin operator will also be given.
Keywords
Cite
@article{arxiv.1904.02972,
title = {Estimates of convolution operators of functions from $L_{2\pi}^{p(x)}$},
author = {Wlodzimierz Lenski and Bogdan Szal},
journal= {arXiv preprint arXiv:1904.02972},
year = {2019}
}