Padé approximants for inverse trigonometric functions and their applications

The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in...

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Detalles Bibliográficos
Autores principales: Wu, Shanhe, Bercu, Gabriel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285437/
https://www.ncbi.nlm.nih.gov/pubmed/28216986
http://dx.doi.org/10.1186/s13660-017-1310-6
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author Wu, Shanhe
Bercu, Gabriel
author_facet Wu, Shanhe
Bercu, Gabriel
author_sort Wu, Shanhe
collection PubMed
description The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in this paper are more refined than that obtained in earlier papers.
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spelling pubmed-52854372017-02-15 Padé approximants for inverse trigonometric functions and their applications Wu, Shanhe Bercu, Gabriel J Inequal Appl Research The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in this paper are more refined than that obtained in earlier papers. Springer International Publishing 2017-02-01 2017 /pmc/articles/PMC5285437/ /pubmed/28216986 http://dx.doi.org/10.1186/s13660-017-1310-6 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
Wu, Shanhe
Bercu, Gabriel
Padé approximants for inverse trigonometric functions and their applications
title Padé approximants for inverse trigonometric functions and their applications
title_full Padé approximants for inverse trigonometric functions and their applications
title_fullStr Padé approximants for inverse trigonometric functions and their applications
title_full_unstemmed Padé approximants for inverse trigonometric functions and their applications
title_short Padé approximants for inverse trigonometric functions and their applications
title_sort padé approximants for inverse trigonometric functions and their applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285437/
https://www.ncbi.nlm.nih.gov/pubmed/28216986
http://dx.doi.org/10.1186/s13660-017-1310-6
work_keys_str_mv AT wushanhe padeapproximantsforinversetrigonometricfunctionsandtheirapplications
AT bercugabriel padeapproximantsforinversetrigonometricfunctionsandtheirapplications

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