Convexity of the complete elliptic integrals of the first kind with respect to Hölder means

Authors：Wang M K; Chu Y M^*; Qiu S L; Jiang Y P

Source：Journal of Mathematical Analysis and Applications, 2012, 388(2): 1141-1146.

DOI：10.1016/j.jmaa.2011.10.063

• Complete elliptic integrals
• Convexity
• H&ouml
• lder mean

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.

• Institution
  湖州师范学院