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Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind

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成果类型:
期刊论文
作者:
Wang, Miao-Kun;He, Zai-Yin;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Wang, Miao-Kun] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
[He, Zai-Yin] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China.
[Chu, Yu-Ming] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
[Chu, Yu-Ming] Changsha Univ Sci & Technol, Sch Math & Stat, 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, Sch Math & Stat, Changsha 410114, Peoples R China.
语种:
英文
关键词:
Complete elliptic integral;Generalized elliptic integral;Gaussian hypergeometric function;Complete p-elliptic integral;Power mean
期刊:
Computational Methods and Function Theory
ISSN:
1617-9447
年:
2020
卷:
20
期:
1
页码:
111-124
基金类别:
The authors would like to express sincere thanks to the anonymous referee for carefully reading the manuscript and valuable comments and suggestions. This work was supported by the Natural Science Foundation of China (Grant Nos. 11701176, 11971142, 61673169), and the Science Foundation of Zhejiang Province (Grant No. YL19A010012).
机构署名:
本校为通讯机构
院系归属:
理学院
摘要:
We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities concerning the complete p-elliptic integral of the first kind are also derived. © 2020, Springer-Verla...

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