A Sharp Double Inequality for Trigonometric Functions and Its Applications
Joint Authors
Chu, Yu-Ming
Song, Ying-Qing
Yang, Zhen-Hang
Li, Yong-Min
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present the best possible parameters p and q such that the double inequality ( 2 / 3 ) cos 2 p ( t / 2 ) + 1 / 3 1 / p < sin t / t < ( 2 / 3 ) cos 2 q ( t / 2 ) + 1 / 3 1 / q holds for any t ∈ ( 0 , π / 2 ) .
As applications, some new analytic inequalities are established.
American Psychological Association (APA)
Yang, Zhen-Hang& Chu, Yu-Ming& Song, Ying-Qing& Li, Yong-Min. 2014. A Sharp Double Inequality for Trigonometric Functions and Its Applications. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014285
Modern Language Association (MLA)
Yang, Zhen-Hang…[et al.]. A Sharp Double Inequality for Trigonometric Functions and Its Applications. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014285
American Medical Association (AMA)
Yang, Zhen-Hang& Chu, Yu-Ming& Song, Ying-Qing& Li, Yong-Min. A Sharp Double Inequality for Trigonometric Functions and Its Applications. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014285
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014285
