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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.

Detalles Bibliográficos
Autores principales: Huang, Ti-Ren, Tan, Shen-Yang, Ma, Xiao-Yan, Chu, Yu-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
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.
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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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