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INEQUALITIES FOR GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS WITH ONE PARAMETER

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成果类型:
期刊论文
作者:
Wang, Miao-Kun;Hong, Miao-Ying;Xu, Yang-Fan;Shen, Zhong-Hua;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Wang, Miao-Kun; Hong, Miao-Ying; Xu, Yang-Fan] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
[Shen, Zhong-Hua] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, 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:
Generalized trigonometric function;generalized hyperbolic function;Gamma function;Mitrinovic-Adamovic inequality;Lazarevic inequality;Huygens-type inequality;Wilker-type inequality;Cusa-Huygens-type inequality
期刊:
JOURNAL OF MATHEMATICAL INEQUALITIES
ISSN:
1846-579X
年:
2020
卷:
14
期:
1
页码:
1-21
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China [11701176, 61673169, 11301127, 11626101, 11601485]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LQY18G030001]; 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 several new inequalities for the generalized trigonometric and hyperbolic functions with one parameter, generalize the well known Mitrinović-Adamović, Lazarević, Huygens-type, Wilker-type and Cusa-Huygens-type inequalities to the cases of the generalized trigonometric and hyperbolic functions...

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