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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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.

  1. Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems

    Volosivets, S. S. | Likhacheva, T. V.

    Siberian Mathematical Journal, Vol. 57 (2016), Iss. 3 P.486

    https://doi.org/10.1134/S0037446616030095 [Citations: 4]
  2. Pointwise Strong Summability of Vilenkin–Fourier Series

    Gát, G. | Goginava, U.

    Mathematical Notes, Vol. 108 (2020), Iss. 3-4 P.499

    https://doi.org/10.1134/S0001434620090229 [Citations: 5]