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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Veröffentlicht in:Computational methods and function theory Jg. 20; H. 1; S. 111 - 124
Hauptverfasser: Wang, Miao-Kun, He, Zai-Yin, Chu, Yu-Ming
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020
Springer Nature B.V
Schlagworte:
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
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie: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