Pointwise strong and very strong approximation by Fourier series of integrable functions

2012/04/05 by Włodzimierz Łenski, Łenski, Włodzimierz
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1204.1281

arxiv created 2012/04/07 · arxiv updated 2016/08/13

Abstract

We will present an estimation of the H_k₀,k_r^qf and % H_u^λφf means as a approximation versions of the Totik type generalization(\textsee \cite11, 12) of the results of J. Marcinkiewicz and A. Zygmund in \citeJM, ZA. As a measure of such approximations we will use the function constructed on the base of definition of the Gabisonia points \cite1. Some results on the norm approximation will also given.

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