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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2017
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Materias: | |
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. |
format | Online Article Text |
id | pubmed-5285437 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
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 |