Approximation of functions from Lp(w)b by matrix means of their Fourier series

2012/04/13 by Radosława Kranz, Kranz, Radosława, Włodzimierz Łenski +3
Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #math.CA

paper · pdf · doi:10.48550/arxiv.1204.2935

arxiv created 2012/04/13 · openalex publication_date 2012/04/13 · arxiv updated 2016/08/13 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, where the entries of the rows of the matrix generate the sequences belonging to the classes MRBVS and MHBVS. We also present some results on norm approximation for functions from the generalized integral Lipschitz classes.

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