The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics

The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics

Year:    2015

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 1 : pp. 1–12

Abstract

We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series is also investigated.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2015.v31.n1.1

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 1 : pp. 1–12

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Vilenkin systems strong approximation generalized monotonicity.