Monotonicity, convexity, and inequalities for the generalized elliptic integrals

Abstract We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals K a ( r ) $\mathscr{K}_{a}(r)$ and E a ( r ) $\mathscr {E}_{a}(r)$ depending on a parameter a ∈ ( 0 , 1 ) $a\in(0,1)$ , which contains an earlier result in the particular case a = 1...

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Bibliographic Details
Main Authors: Tiren Huang, Shenyang Tan, Xiaohui Zhang
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1556-z