Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind

We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities concerning the complete p -elliptic integral of the first kind are also derived.

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Podrobná bibliografie
Vydáno v:	Computational methods and function theory Ročník 20; číslo 1; s. 111 - 124
Hlavní autoři:	Wang, Miao-Kun, He, Zai-Yin, Chu, Yu-Ming
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020 Springer Nature B.V
Témata:	Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Inequalities Integrals Mathematics Mathematics and Statistics 26E60 Complete elliptic integral Generalized elliptic integral Complete 33E05 Gaussian hypergeometric function 33C05 elliptic integral Power mean
ISSN:	1617-9447, 2195-3724
On-line přístup:	Získat plný text
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Popis
Shrnutí:	We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities concerning the complete p -elliptic integral of the first kind are also derived.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1617-9447 2195-3724
DOI:	10.1007/s40315-020-00298-w