Monotonicity properties and bounds for the complete p-elliptic integrals

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成果类型：

期刊论文

作者：

Huang, Xi-Fan;Wang, Miao-Kun;Shao, Hao;Zhao, Yi-Fan;Chu, Yu-Ming*

通讯作者：

Chu, Yu-Ming

作者机构：

[Zhao, Yi-Fan; Wang, Miao-Kun; Shao, Hao; Huang, Xi-Fan] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

[Chu, Yu-Ming] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.

[Chu, Yu-Ming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

通讯机构：

[Chu, Yu-Ming] H

[Chu, Yu-Ming] C

Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.

Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

语种：

英文

关键词：

Bound;Complete elliptic integral;Complete p-elliptic integral;Generalized trigonometric function;Monotonicity

期刊：

AIMS Mathematics

ISSN：

2473-6988

年：

2020

卷：

期：

页码：

7071-7086

DOI：

10.3934/math.2020453

基金类别：

National Natural Science Foundations of ChinaNational Natural Science Foundation of China (NSFC) [11971142, 61673169, 11701176, 11871202]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY19A010012]; research project for college students of Huzhou University [2019-111]

机构署名：

本校为通讯机构

院系归属：

理学院

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. © ...

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Monotonicity properties and bounds for the complete p-elliptic integrals

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