New approximation inequalities for circular functions

Abstract In this paper, we obtain some improved exponential approximation inequalities for the functions (sinx)/x $(\sin x)/x$ and sec(x) $\sec(x)$, and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.

Bibliographic Details
Main Authors: Ling Zhu, Marija Nenezić
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1910-9