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Several improvements of Mitrinovic-Adamovic and Lazarevic's inequalities with applications to the sharpening of Wilker-type inequalities

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成果类型:
期刊论文
作者:
Wu, Shan-He*;Yu, Huan-Peng;Deng, Yong-Ping;Chu, Yu-Ming
通讯作者:
Wu, Shan-He
作者机构:
[Yu, Huan-Peng; Deng, Yong-Ping; Wu, Shan-He] Longyan Univ, Dept Math, Longyan 364012, Fujian, Peoples R China.
[Chu, Yu-Ming] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Hunan, Peoples R China.
通讯机构:
[Wu, Shan-He] L
Longyan Univ, Dept Math, Longyan 364012, Fujian, Peoples R China.
语种:
英文
关键词:
Mitrinovic-Adamovic's inequality;Lazarevic's inequality;Wilker-type inequalities;hyperbolic functions;improvement
期刊:
Journal of Nonlinear Sciences and Applications
ISSN:
2008-1898
年:
2016
卷:
9
期:
4
页码:
1755-1765
基金类别:
Foundation of Scientific Research Project of Fujian Province Education Department of China [JK2013051]; National Training Programs of China for Undergraduate Innovation and Entrepreneurship [201411312003]
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
In this paper, we give several improvements of Mitrinovic-Adamovic's inequality and Lazarevic's inequality. Our results show some interesting relationships between Mitrinovic-Adamovic's inequality and Lazarevic's inequality. At the end of the paper, the improved Lazarevic's inequality is applied to the sharpening of Wilker-type inequalities for hyperbolic ...

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