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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Vydané v:Computational methods and function theory Ročník 20; číslo 1; s. 111 - 124
Hlavní autori: Wang, Miao-Kun, He, Zai-Yin, Chu, Yu-Ming
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020
Springer Nature B.V
Predmet:
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
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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.
Bibliografia: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