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B.-N. Guo, W. Li, and F. Qi, Proofs of Wilker's inequalities involving trigonometric functions, The 7th International Conference on Nonlinear Functional Analysis and Applications, Chinju, South Korea, August 6-10, 2001; Inequality Theory and Applications, Volume 3, Yeol Je Cho, Jong Kyu Kim, and Sever S. Dragomir (Eds), Nova Science Publishers, Hauppauge, NY, pp. 109-112.

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Article

Refinements and Sharpening of some Huygens and Wilker Type Inequalities

1Department of Information Engineering, Weihai Vocational University, Weihai, Shandong, China

2Department of Mathematics, Chongqing Normal University, Chongqing City, China

3College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China

4Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China;Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 4, 134-139
DOI: 10.12691/tjant-2-4-6
Copyright © 2014 Science and Education Publishing

Cite this paper:
Wei-Dong Jiang, Qiu-Ming Luo, Feng Qi. Refinements and Sharpening of some Huygens and Wilker Type Inequalities. Turkish Journal of Analysis and Number Theory. 2014; 2(4):134-139. doi: 10.12691/tjant-2-4-6.

Correspondence to: Feng  Qi, College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China. Email: qifeng618@gmail.com, qifeng618@hotmail.com, qifeng618@qq.com

Abstract

In the article, some Huygens and Wilker type inequalities involving trigonometric and hyperbolic functions are refined and sharpened.

Keywords