|本期目录/Table of Contents|

[1]钟根红,李林钟,马晓艳.广义三角函数与双曲函数的Wilker-Huygens型不等式[J].浙江理工大学学报,2019,41-42(自科一):118-121.
 ZHONG Genhong,LI Linzhong,MA Xiaoyan.Wilker Huygens inequalities involving generalized trigonometric function and hyperbolic function[J].Journal of Zhejiang Sci-Tech University,2019,41-42(自科一):118-121.
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广义三角函数与双曲函数的Wilker-Huygens型不等式()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第41-42卷
期数:
2019年自科一期
页码:
118-121
栏目:
出版日期:
2018-12-15

文章信息/Info

Title:
Wilker Huygens inequalities involving generalized trigonometric function and hyperbolic function
文章编号:
1673-3851 (2019) 01-0118-04
作者:
钟根红李林钟马晓艳
浙江理工大学,a.科技与艺术学院;b.理学院,杭州 310018
Author(s):
ZHONG Genhong LI Linzhong MA Xiaoyan
a.Keyi College; b.School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
Wilker型不等式Hugens型不等式广义三角函数广义双曲函数不等式
分类号:
O178
文献标志码:
A
摘要:
通过初等解析方法与不等式理论,研究了带有一个参数p的广义三角函数及广义双曲函数的Wilker型与Huygens型不等式,所给出的广义三角函数与双曲函数的加强不等式改进了已知结果;同时用初等解析方法解决了一个公开问题,得到了广义双曲函数的相应不等式,补充了该公开问题的完整性。

参考文献/References:

[1] Wilker J B. Problem E3306[J]. American Mathematical Monthly,1989,96(1):55.
[2] Huygens C. Oeuvres Completes[M]. Haga: Societe Houondaise des Science,1962:1888-1940.
[3] Zhu L. On Wilkertype inequalities[J]. Mathematical Inequalities & Applications,2007,10(4):727-731.
[4] Neuman E, Sandor E. On some inequalities involving trigonometric and hyperbolic function with emphasis on the CusaHuygens, Wilker and Huygens inequalities[J]. Mathematical Inequalities & Applications,2010,13(4):715-723.
[5] Neuman E. On Wilker and Huygens type inequalities[J]. Mathematical Inequalities & Applications,2012,15(15):271-279.
[6] Zhu L. A new simple proof of Wilker’s inequalities[J]. Mathematical Inequalities & Applications,2005,8(4):749-750.
[7] Wu S. On extension and refinement of Wilker inequality[J]. Rocky Mountain Journal of Mathematics,2009,39(2):683-687.
[8] Lindqvist P. Some remarkable sine and cosine functions[J]. Ricerche di Matematica,1995,44(2):269-290.
[9]Yin L, Huang L G, Qi F. Some inequalities for the generalized trigonometric and hyperbolic functions[J]. Turkish Journal of Analysis and Number Theory,2014,2(3):96-101.
[10] Neuman E. Inequalities involving generalized trigonometric  and hyperbolic functions[J]. Journal of Mathematical Inequalities,2014,8(4):725-736.

备注/Memo

备注/Memo:
收稿日期: 2018-09-01
网络出版日期: 2018-10-08
基金项目: 浙江自然科学基金项目(LQ17A010010);国家自然科学基金项目(11671360);浙江省教育厅一般科研项目(Y201840023)
作者简介: 钟根红(1980-),男,安徽桐城人,助理研究员,硕士,主要从事函数空间、拟共形特殊函数方面的研究
通信作者: 马晓艳,E-mail:mxy@zstu.edu.cn
更新日期/Last Update: 2019-03-13