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

Authors

  • T. V. Iofina & S. S. Volosivets

DOI:

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

Keywords:

Vilenkin systems, strong approximation, generalized monotonicity.

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.

Published

2017-01-13

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How to Cite

The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics. (2017). Analysis in Theory and Applications, 31(1), 1-12. https://doi.org/10.4208/ata.2015.v31.n1.1