Generalized matrix summability of a conjugate derived Fourier series

The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and...

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Detalles Bibliográficos
Autores principales: Mursaleen, M, Alotaibi, Abdullah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5668359/
https://www.ncbi.nlm.nih.gov/pubmed/29151707
http://dx.doi.org/10.1186/s13660-017-1542-5
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author Mursaleen, M
Alotaibi, Abdullah
author_facet Mursaleen, M
Alotaibi, Abdullah
author_sort Mursaleen, M
collection PubMed
description The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series.
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spelling pubmed-56683592017-11-16 Generalized matrix summability of a conjugate derived Fourier series Mursaleen, M Alotaibi, Abdullah J Inequal Appl Research The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series. Springer International Publishing 2017-11-02 2017 /pmc/articles/PMC5668359/ /pubmed/29151707 http://dx.doi.org/10.1186/s13660-017-1542-5 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
Mursaleen, M
Alotaibi, Abdullah
Generalized matrix summability of a conjugate derived Fourier series
title Generalized matrix summability of a conjugate derived Fourier series
title_full Generalized matrix summability of a conjugate derived Fourier series
title_fullStr Generalized matrix summability of a conjugate derived Fourier series
title_full_unstemmed Generalized matrix summability of a conjugate derived Fourier series
title_short Generalized matrix summability of a conjugate derived Fourier series
title_sort generalized matrix summability of a conjugate derived fourier series
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5668359/
https://www.ncbi.nlm.nih.gov/pubmed/29151707
http://dx.doi.org/10.1186/s13660-017-1542-5
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