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M. Abramowitz and I. A. Stegun (Eds), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series 55, 10th printing, Washington, 1972.

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Article

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

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


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 6, 223-225
DOI: 10.12691/tjant-2-6-6
Copyright © 2014 Science and Education Publishing

Cite this paper:
Da-Wei Niu, Yue-Jin Zhang, 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.

Correspondence to: Da-Wei  Niu, College of Information and Business, Zhongyuan University of Technology, Zhengzhou City, Henan Province, China. Email: nnddww@163.com

Abstract

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

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