A Double Inequality for the Harmonic Number in Terms of the Hyperbolic Cosine

Da-Wei Niu^1, , Yue-Jin Zhang¹ and Feng Qi^{2, 3}

¹College of Information and Business, Zhongyuan University of Technology, Zhengzhou City, Henan Province, China

²College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China

³Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China;Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

Cite this paper:
Da-Wei Niu, Yue-Jin Zhang and Feng Qi. A Double Inequality for the Harmonic Number in Terms of the Hyperbolic Cosine. Turkish Journal of Analysis and Number Theory. 2014; 2(6):223-225. doi: 10.12691/tjant-2-6-6

Abstract

In the paper, the author present an inequality for bounding the harmonic number in terms of the hyperbolic cosine.

Keywords:
Inequality Euler-Mascheroni constant Harmonic number Hyperbolic cosine

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