Approximating trigonometric functions by using exponential inequalities

In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens, Chen and Sándor.

Saved in:
Bibliographic Details
Published inJournal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 14
Main Authors Chen, Xiao-Diao, Ma, Junyi, Li, Yixin
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2019
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Chen–Sándor’s inequality
Cusa–Huygens’s inequality
Inequalities
Mathematics
Mathematics and Statistics
Monotonically decreasing function
Monotonically increasing function
Trigonometric function
Trigonometric functions
Cusa–Huygens’s inequality
Chen–Sándor’s inequality
Monotonically increasing function
Trigonometric function
Monotonically decreasing function
Online AccessGet full text

Cover

More Information
Summary:In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens, Chen and Sándor.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-1992-z