数学物理学报 ›› 2020, Vol. 40 ›› Issue (5): 1269-1281.

• 论文 • 上一篇    下一篇

第二类完全p-椭圆积分关于Hölder平均的凹性

王淼坤1(),何再银2(),褚玉明1,*()   

  1. 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
  • 收稿日期:2019-03-19 出版日期:2020-10-26 发布日期:2020-11-04
  • 通讯作者: 褚玉明 E-mail:wmk000@126.com;hzy@zjhu.edu.cn;chuyuming@zjhu.edu.cn
  • 作者简介:王淼坤, E-mail:wmk000@126.com|何再银, E-mail:hzy@zjhu.edu.cn
  • 基金资助:
    国家自然科学基金(11701176);国家自然科学基金(61373169)

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

Miaokun Wang1(),Zaiyin He2(),Yuming Chu1,*()   

  1. 1 Department of Mathematics, Huzhou University, Zhejiang Huzhou 313000
    2 School of Mathematics, Hunan University, Hunan Changsha 410082
  • Received:2019-03-19 Online:2020-10-26 Published:2020-11-04
  • Contact: Yuming Chu E-mail:wmk000@126.com;hzy@zjhu.edu.cn;chuyuming@zjhu.edu.cn
  • Supported by:
    NSFC(11701176);NSFC(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.

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