Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality

Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new upper bounds for [Formul...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Chao-Ping, Zhang, Hui-Jie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5583316/
https://www.ncbi.nlm.nih.gov/pubmed/28943735
http://dx.doi.org/10.1186/s13660-017-1479-8
_version_ 1783261297420271616
author Chen, Chao-Ping
Zhang, Hui-Jie
author_facet Chen, Chao-Ping
Zhang, Hui-Jie
author_sort Chen, Chao-Ping
collection PubMed
description Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new upper bounds for [Formula: see text] . As an application, we give a generalized Carleman-type inequality.
format Online
Article
Text
id pubmed-5583316
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-55833162017-09-20 Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality Chen, Chao-Ping Zhang, Hui-Jie J Inequal Appl Research Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new upper bounds for [Formula: see text] . As an application, we give a generalized Carleman-type inequality. Springer International Publishing 2017-09-04 2017 /pmc/articles/PMC5583316/ /pubmed/28943735 http://dx.doi.org/10.1186/s13660-017-1479-8 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
Chen, Chao-Ping
Zhang, Hui-Jie
Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
title Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
title_full Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
title_fullStr Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
title_full_unstemmed Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
title_short Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality
title_sort padé approximant related to inequalities involving the constant e and a generalized carleman-type inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5583316/
https://www.ncbi.nlm.nih.gov/pubmed/28943735
http://dx.doi.org/10.1186/s13660-017-1479-8
work_keys_str_mv AT chenchaoping padeapproximantrelatedtoinequalitiesinvolvingtheconstanteandageneralizedcarlemantypeinequality
AT zhanghuijie padeapproximantrelatedtoinequalitiesinvolvingtheconstanteandageneralizedcarlemantypeinequality

Ejemplares similares