Jordan Type Inequalities for Hyperbolic Functions and Their Applications
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-01
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We present the best possible parameters p, q ∈ 0 , ∞ such that the double inequality 1 / 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 all x ∈ 0 , ∞ .
As applications, some new inequalities for certain special function and bivariate means are found.
American Psychological Association (APA)
Yang, Zhen-Hang& Chu, Yu-Ming. 2015. Jordan Type Inequalities for Hyperbolic Functions and Their Applications. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1068255
Modern Language Association (MLA)
Yang, Zhen-Hang& Chu, Yu-Ming. Jordan Type Inequalities for Hyperbolic Functions and Their Applications. Journal of Function Spaces No. 2015 (2015), pp.1-4.
https://search.emarefa.net/detail/BIM-1068255
American Medical Association (AMA)
Yang, Zhen-Hang& Chu, Yu-Ming. Jordan Type Inequalities for Hyperbolic Functions and Their Applications. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1068255
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068255
