Approximation of functions in the generalized Zygmund class using Hausdorff means

In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text] ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.

Detalles Bibliográficos
Autores principales: Singh, Mradul Veer, Mittal, ML, Rhoades, BE
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5420006/
https://www.ncbi.nlm.nih.gov/pubmed/28539751
http://dx.doi.org/10.1186/s13660-017-1361-8
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author Singh, Mradul Veer
Mittal, ML
Rhoades, BE
author_facet Singh, Mradul Veer
Mittal, ML
Rhoades, BE
author_sort Singh, Mradul Veer
collection PubMed
description In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text] ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.
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spelling pubmed-54200062017-05-22 Approximation of functions in the generalized Zygmund class using Hausdorff means Singh, Mradul Veer Mittal, ML Rhoades, BE J Inequal Appl Research In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text] ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results. Springer International Publishing 2017-05-05 2017 /pmc/articles/PMC5420006/ /pubmed/28539751 http://dx.doi.org/10.1186/s13660-017-1361-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Singh, Mradul Veer
Mittal, ML
Rhoades, BE
Approximation of functions in the generalized Zygmund class using Hausdorff means
title Approximation of functions in the generalized Zygmund class using Hausdorff means
title_full Approximation of functions in the generalized Zygmund class using Hausdorff means
title_fullStr Approximation of functions in the generalized Zygmund class using Hausdorff means
title_full_unstemmed Approximation of functions in the generalized Zygmund class using Hausdorff means
title_short Approximation of functions in the generalized Zygmund class using Hausdorff means
title_sort approximation of functions in the generalized zygmund class using hausdorff means
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5420006/
https://www.ncbi.nlm.nih.gov/pubmed/28539751
http://dx.doi.org/10.1186/s13660-017-1361-8
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AT mittalml approximationoffunctionsinthegeneralizedzygmundclassusinghausdorffmeans
AT rhoadesbe approximationoffunctionsinthegeneralizedzygmundclassusinghausdorffmeans

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