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.

Saved in:

Bibliographic Details
Published in:	Computational methods and function theory Vol. 20; no. 1; pp. 111 - 124
Main Authors:	Wang, Miao-Kun, He, Zai-Yin, Chu, Yu-Ming
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020 Springer Nature B.V
Subjects:	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 Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!