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Monotonicity properties and bounds for the complete p-elliptic integrals
We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154081/ https://www.ncbi.nlm.nih.gov/pubmed/30839616 http://dx.doi.org/10.1186/s13660-018-1828-2 |
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author | Huang, Ti-Ren Tan, Shen-Yang Ma, Xiao-Yan Chu, Yu-Ming |
author_facet | Huang, Ti-Ren Tan, Shen-Yang Ma, Xiao-Yan Chu, Yu-Ming |
author_sort | Huang, Ti-Ren |
collection | PubMed |
description | We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals. |
format | Online Article Text |
id | pubmed-6154081 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-61540812018-10-10 Monotonicity properties and bounds for the complete p-elliptic integrals Huang, Ti-Ren Tan, Shen-Yang Ma, Xiao-Yan Chu, Yu-Ming J Inequal Appl Research We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals. Springer International Publishing 2018-09-12 2018 /pmc/articles/PMC6154081/ /pubmed/30839616 http://dx.doi.org/10.1186/s13660-018-1828-2 Text en © The Author(s) 2018 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 Huang, Ti-Ren Tan, Shen-Yang Ma, Xiao-Yan Chu, Yu-Ming Monotonicity properties and bounds for the complete p-elliptic integrals |
title | Monotonicity properties and bounds for the complete p-elliptic integrals |
title_full | Monotonicity properties and bounds for the complete p-elliptic integrals |
title_fullStr | Monotonicity properties and bounds for the complete p-elliptic integrals |
title_full_unstemmed | Monotonicity properties and bounds for the complete p-elliptic integrals |
title_short | Monotonicity properties and bounds for the complete p-elliptic integrals |
title_sort | monotonicity properties and bounds for the complete p-elliptic integrals |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154081/ https://www.ncbi.nlm.nih.gov/pubmed/30839616 http://dx.doi.org/10.1186/s13660-018-1828-2 |
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