Jordan Type Inequalities for Hyperbolic Functions and Their Applications. (1st March 2015)

• Record Type: Journal Article
• Authors: Yang, Zhen-Hang; Chu, Yu-Ming
• Other Names: Zhu Kehe Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-03-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/370979
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We present the best possible parameters p, q ∈ 0, ∞ such that the double inequality1 / 3 p 2 c o s h ( p x ) + 1 - 1 / 3 p 2 < s i n h ( x ) / x < 1 / 3 q 2 c o s h ( q x ) + 1 - 1 / 3 q 2 holds for allx ∈ 0, ∞ . As applications, some new inequalities for certain special function and bivariate means are found.