Elliptic integral inequalities with applications
From MaRDI portal
Publication:1384650
DOI10.1007/s003659900070zbMath0901.33011OpenAlexW2038294728MaRDI QIDQ1384650
Glenn D. Anderson, Song-Liang Qiu, Mavina K. Vamanamurthy
Publication date: 26 November 1998
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s003659900070
Related Items (34)
Approximations for the complete elliptic integral of the second Kind ⋮ Hölder mean inequalities for the complete elliptic integrals ⋮ Monotonicity and inequalities related to complete elliptic integrals of the second kind ⋮ Generalized convexity and inequalities involving special functions ⋮ Monotonicity, convexity and inequalities involving the generalized elliptic integrals ⋮ A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities ⋮ Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means ⋮ Inequalities for generalized Grötzsch ring function ⋮ Sharp inequalities involving the power mean and complete elliptic integral of the first kind ⋮ Monotonicity, convexity, and inequalities for the generalized elliptic integrals ⋮ The t-modification of homogeneous symmetric means concerning complete elliptic integrals ⋮ Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions ⋮ Sharp exponential type inequalities for the arc lemniscate sine function with applications ⋮ An optimal power mean inequality for the complete elliptic integrals ⋮ Sharp inequalities for the complete elliptic integrals of the first and second kinds ⋮ On Alzer and Qiu's conjecture for complete elliptic integral and inverse hyperbolic tangent function ⋮ Concavity of the complete elliptic integrals of the second kind with respect to Hölder means ⋮ Convexity of the complete elliptic integrals of the first kind with respect to Hölder means ⋮ A power mean inequality involving the complete elliptic integrals ⋮ Landen inequalities for a class of hypergeometric functions with applications ⋮ Monotonicity properties and bounds for the complete \(p\)-elliptic integrals ⋮ Monotonicity theorems and inequalities for the complete elliptic integrals ⋮ Monotonicity properties and inequalities related to generalized Grötzsch ring functions ⋮ Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function ⋮ Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean ⋮ On a function involving generalized complete \((p, q)\)-elliptic integrals ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function ⋮ Some Padé approximations and inequalities for the complete elliptic integrals of the first kind ⋮ Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals ⋮ Monotonicity, convexity and bounds involving the beta and Ramanujan R-functions ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications
This page was built for publication: Elliptic integral inequalities with applications