The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics
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@Article{ATA-31-1,
author = {},
title = {The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {1},
pages = {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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n1.1}, url = {http://global-sci.org/intro/article_detail/ata/4618.html} }
TY - JOUR
T1 - The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics
JO - Analysis in Theory and Applications
VL - 1
SP - 1
EP - 12
PY - 2017
DA - 2017/01
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n1.1
UR - https://global-sci.org/intro/article_detail/ata/4618.html
KW - Vilenkin systems, strong approximation, generalized monotonicity.
AB -
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.
T. V. Iofina & S. S. Volosivets. (1970). The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics.
Analysis in Theory and Applications. 31 (1).
1-12.
doi:10.4208/ata.2015.v31.n1.1
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