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

Journal of Inequalities and Applications

Yu-Ming Chu¹  Zhen-Hang Yang¹ 

[1] School of Mathematics and Computation Sciences, Hunan City University;

关键词: Stolarsky mean;    hyperbolic function;    trigonometric function;    gamma function;    error function;    complete monotonicity;   

DOI  :  10.1186/s13660-016-1143-8

来源: DOAJ

【 摘 要 】

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 function.

【 授权许可】

Unknown