Monotonicity properties and bounds for the complete p-elliptic integrals

被引：15
作者：
Huang, Xi-Fan [1 ]
Wang, Miao-Kun [1 ]
Shao, Hao [1 ]
Zhao, Yi-Fan [1 ]
Chu, Yu-Ming [2 ,3 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[2] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China
[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 06期
关键词：
complete elliptic integral; complete p-elliptic integral; generalized trigonometric function; monotonicity; bound; CONVEX-FUNCTIONS; INEQUALITIES; HADAMARD; REFINEMENTS;
D O I：
10.3934/math.2020453
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article, we establish some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, and find several sharp bounds for the p-elliptic integrals. Our results are the generalizations and improvements of some previously known results for the classical complete elliptic integrals.
引用
收藏
页码：7071 / 7086
页数：16
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