第二类完全p-椭圆积分关于Hölder平均的凹性

摘要/Abstract

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.

关键词: 完全p-椭圆积分, 广义椭圆积分, Hölder平均值, 凹性, 凸性

Abstract:

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.

Key words: Complete p-elliptic integral, Generalized elliptic integral, Hölder mean, Concavity, Convexity

中图分类号:

O174

王淼坤,何再银,褚玉明. 第二类完全p-椭圆积分关于Hölder平均的凹性[J]. 数学物理学报, 2020, 40(5): 1269-1281.

Miaokun Wang,Zaiyin He,Yuming Chu. Concavity of the Complete p-Elliptic Integral of the Second Kind According to Hölder Mean[J]. Acta mathematica scientia,Series A, 2020, 40(5): 1269-1281.

图/表 1

参考文献 50

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