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

eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-12-14 2 6 223 225 10.12691/tjant-2-6-6 TJANT2014266 article A Double Inequality for the Harmonic Number in Terms of the Hyperbolic Cosine Da-Wei Niu nnddww@163.com 1 Yue-Jin Zhang 1 Feng Qi 2 3 4 College of Information and Business, Zhongyuan University of Technology, Zhengzhou City, Henan Province, China College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China In the paper, the author present an inequality for bounding the harmonic number in terms of the hyperbolic cosine. http://pubs.sciepub.com/tjant/2/6/6/tjant-2-6-6.pdf Inequality Euler-Mascheroni constant Harmonic number Hyperbolic cosine