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

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页码：7071 / 7086

页数：16

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