1. Convexity of the complete elliptic integrals of the first kind with respect to Hölder means Author Wang, Miao-Kun, Chu, Yu-Ming, Qiu, Song-Liang, and Jiang, Yue-Ping Subjects *CONVEX domains, *ELLIPTIC functions, *HYPERELLIPTIC integrals, *SUFFICIENT statistics, *MATHEMATICAL analysis, *MATHEMATICS Abstract Abstract: In this paper, we establish a necessary and sufficient condition for the convexity of the complete elliptic integrals of the first kind with respect to Hölder means. [Copyright &y& Elsevier] Published 2012 Full Text View/download PDF