Inequalities for Jacobian elliptic functions and Gauss lemniscate functions
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摘要
A new proof of inequalities involving Jacobian elliptic functions and their inverse functions are obtained. Similar results for the Gauss lemniscate functions are also established. Upper bounds for the inverse Jacobian elliptic functions and for the Gauss arc lemniscate functions are derived.
论文关键词：Jacobian elliptic functions,Gauss lemniscate functions,Inverse functions,Completely symmetric elliptic integral of the first kind,Bivariate means,Inequalities
论文评审过程：Available online 17 February 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.01.041
