Sharpness of Wilker and Huygens type inequalities

被引:24
作者
Chen, Chao-Ping [1 ]
Cheung, Wing-Sum [2 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454003, Henan Province, Peoples R China
[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
关键词
inequalities; trigonometric functions; CUSA-HUYGENS;
D O I
10.1186/1029-242X-2012-72
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities. : 26D05.
引用
收藏
页数:11
相关论文
共 23 条
[1]  
Abramowitz M, 1972, APPL MATH SER NBS, V55
[2]  
[Anonymous], OEUVRES COMPLETES 18
[3]  
Baricz A., 2008, J MATH INEQUAL, V2, P397, DOI [10.7153/jmi-02-35, DOI 10.7153/JMI-02-35]
[4]  
Chen CP, INTEGR T SP IN PRESS
[5]   On new proofs of Wilker's inequalities involving trigonometric functions [J].
Guo, BN ;
Qiao, BM ;
Qi, F ;
Li, W .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (01) :19-22
[6]  
Kuang J.-C., 2004, Applied inequalities, P3
[7]  
Mitrinovic D. S., 1970, Analytic Inequalities
[8]   THE NATURAL APPROACH OF WILKER-CUSA-HUYGENS INEQUALITIES [J].
Mortici, Cristinel .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (03) :535-541
[9]  
Neuman E., MATH INEQUA IN PRESS
[10]   ON SOME INEQUALITIES INVOLVING TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS WITH EMPHASIS ON THE CUSA-HUYGENS, WILKER, AND HUYGENS INEQUALITIES [J].
Neuman, Edward ;
Sandor, Jozsef .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (04) :715-723