Pointwise strong and very strong approximation by Fourier series of integrable functions
Classical Analysis and ODEs
2016-08-14 v2
Abstract
We will present an estimation of the and means as a approximation versions \ of \ the Totik type generalization \ of the results of \ J. Marcinkiewicz and A. Zygmund in \cite{JM, ZA}. As a measure of such approximations we will use the function constructed on the base of definition of the Gabisonia points \cite{1}. Some results on the norm approximation will also given.
Keywords
Cite
@article{arxiv.1204.1281,
title = {Pointwise strong and very strong approximation by Fourier series of integrable functions},
author = {Włodzimierz Łenski},
journal= {arXiv preprint arXiv:1204.1281},
year = {2016}
}