Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications

Abstract In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function and provide the bounds for the error...

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Bibliographic Details
Main Authors: Zhen-Hang Yang, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1143-8