Monotonicity, convexity, and inequalities for the generalized elliptic integrals

We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals [Formula: see text] and [Formula: see text] depending on a parameter [Formula: see text] , which contains an earlier result in the particular case [Formula: see text] .

Detalles Bibliográficos
Autores principales: Huang, Tiren, Tan, Shenyang, Zhang, Xiaohui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5680400/
https://www.ncbi.nlm.nih.gov/pubmed/29170610
http://dx.doi.org/10.1186/s13660-017-1556-z
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author Huang, Tiren
Tan, Shenyang
Zhang, Xiaohui
author_facet Huang, Tiren
Tan, Shenyang
Zhang, Xiaohui
author_sort Huang, Tiren
collection PubMed
description We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals [Formula: see text] and [Formula: see text] depending on a parameter [Formula: see text] , which contains an earlier result in the particular case [Formula: see text] .
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spelling pubmed-56804002017-11-21 Monotonicity, convexity, and inequalities for the generalized elliptic integrals Huang, Tiren Tan, Shenyang Zhang, Xiaohui J Inequal Appl Research We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals [Formula: see text] and [Formula: see text] depending on a parameter [Formula: see text] , which contains an earlier result in the particular case [Formula: see text] . Springer International Publishing 2017-11-09 2017 /pmc/articles/PMC5680400/ /pubmed/29170610 http://dx.doi.org/10.1186/s13660-017-1556-z 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
Huang, Tiren
Tan, Shenyang
Zhang, Xiaohui
Monotonicity, convexity, and inequalities for the generalized elliptic integrals
title Monotonicity, convexity, and inequalities for the generalized elliptic integrals
title_full Monotonicity, convexity, and inequalities for the generalized elliptic integrals
title_fullStr Monotonicity, convexity, and inequalities for the generalized elliptic integrals
title_full_unstemmed Monotonicity, convexity, and inequalities for the generalized elliptic integrals
title_short Monotonicity, convexity, and inequalities for the generalized elliptic integrals
title_sort monotonicity, convexity, and inequalities for the generalized elliptic integrals
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5680400/
https://www.ncbi.nlm.nih.gov/pubmed/29170610
http://dx.doi.org/10.1186/s13660-017-1556-z
work_keys_str_mv AT huangtiren monotonicityconvexityandinequalitiesforthegeneralizedellipticintegrals
AT tanshenyang monotonicityconvexityandinequalitiesforthegeneralizedellipticintegrals
AT zhangxiaohui monotonicityconvexityandinequalitiesforthegeneralizedellipticintegrals

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