Partial reciprocal sums of the Mathieu series

It is well known that the Mathieu series has a wide application in mathematics science. In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality...

Descripción completa

Detalles Bibliográficos
Autor principal: Lin, Xin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5346441/
https://www.ncbi.nlm.nih.gov/pubmed/28344427
http://dx.doi.org/10.1186/s13660-017-1327-x
_version_ 1782513886241488896
author Lin, Xin
author_facet Lin, Xin
author_sort Lin, Xin
collection PubMed
description It is well known that the Mathieu series has a wide application in mathematics science. In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity.
format Online
Article
Text
id pubmed-5346441
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-53464412017-03-24 Partial reciprocal sums of the Mathieu series Lin, Xin J Inequal Appl Research It is well known that the Mathieu series has a wide application in mathematics science. In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity. Springer International Publishing 2017-03-11 2017 /pmc/articles/PMC5346441/ /pubmed/28344427 http://dx.doi.org/10.1186/s13660-017-1327-x 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
Lin, Xin
Partial reciprocal sums of the Mathieu series
title Partial reciprocal sums of the Mathieu series
title_full Partial reciprocal sums of the Mathieu series
title_fullStr Partial reciprocal sums of the Mathieu series
title_full_unstemmed Partial reciprocal sums of the Mathieu series
title_short Partial reciprocal sums of the Mathieu series
title_sort partial reciprocal sums of the mathieu series
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5346441/
https://www.ncbi.nlm.nih.gov/pubmed/28344427
http://dx.doi.org/10.1186/s13660-017-1327-x
work_keys_str_mv AT linxin partialreciprocalsumsofthemathieuseries

Ejemplares similares