Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters

In this paper, we establish some functional inequalities for generalized complete elliptic integrals with two parameters, such as estimation of bounds and mean inequalities. Our main results give (p,q)-analogues to the early results for classical complete elliptic integrals.

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Main Authors: Xiangkai Dou, Li Yin, Xiu-Li Lin
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/4752856
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author Xiangkai Dou
Li Yin
Xiu-Li Lin
author_facet Xiangkai Dou
Li Yin
Xiu-Li Lin
author_sort Xiangkai Dou
collection DOAJ
description In this paper, we establish some functional inequalities for generalized complete elliptic integrals with two parameters, such as estimation of bounds and mean inequalities. Our main results give (p,q)-analogues to the early results for classical complete elliptic integrals.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-409993215aa14fc3adbf42c16bfb48922025-02-03T06:00:10ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/47528564752856Functional Inequalities for Generalized Complete Elliptic Integrals with Two ParametersXiangkai Dou0Li Yin1Xiu-Li Lin2College of Science, Binzhou University, Binzhou City, Shandong Province, 256603, ChinaCollege of Science, Binzhou University, Binzhou City, Shandong Province, 256603, ChinaCollege of Mathematics Science, Qufu Normal University, Qufu City, Shandong Province, 273165, ChinaIn this paper, we establish some functional inequalities for generalized complete elliptic integrals with two parameters, such as estimation of bounds and mean inequalities. Our main results give (p,q)-analogues to the early results for classical complete elliptic integrals.http://dx.doi.org/10.1155/2019/4752856
spellingShingle Xiangkai Dou
Li Yin
Xiu-Li Lin
Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
Journal of Function Spaces
title Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
title_full Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
title_fullStr Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
title_full_unstemmed Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
title_short Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
title_sort functional inequalities for generalized complete elliptic integrals with two parameters
url http://dx.doi.org/10.1155/2019/4752856
work_keys_str_mv AT xiangkaidou functionalinequalitiesforgeneralizedcompleteellipticintegralswithtwoparameters
AT liyin functionalinequalitiesforgeneralizedcompleteellipticintegralswithtwoparameters
AT xiulilin functionalinequalitiesforgeneralizedcompleteellipticintegralswithtwoparameters