第二类完全p-椭圆积分关于Hölder平均的凹性  

Concavity of the Complete p-Elliptic Integral of the Second Kind According to Hölder Mean

作　　者：王淼坤[1] 何再银 褚玉明[1] Wang Miaokun;He Zaiyin;Chu Yuming(Department of Mathematics,Huzhou University,Zhejiang Huzhou 313000;School of Mathematics,Hunan University,Hunan Changsha 410082)

机构地区：[1]湖州师范学院理学院,浙江湖州313000 [2]湖南大学数学学院,长沙410082

出　　处：《数学物理学报（A辑）》2020年第5期1269-1281,共13页Acta Mathematica Scientia

基　　金：国家自然科学基金(11701176,61373169)。

摘　　要：该文给出了第二类完全p-椭圆积分满足Hölder凹性的充分必要条件,从而推广了先前关于第二类完全椭圆积分的相应结果.In the article,we provide a necessary and sufficient condition such that the complete p-elliptic integral of the second kind is concave with respect to Hölder mean,which is a generalization of the previously known result on the complete elliptic integral of the second kind.

关 键 词：完全p-椭圆积分 广义椭圆积分 Hölder平均值 凹性 凸性 

分 类 号：O174[理学—数学]