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

Journal of inequalities and applications

Zhen-Hang Yang¹ 

关键词: Stolarsky mean;    hyperbolic function;    trigonometric function;    gamma function;    error function;    complete monotonicity;    absolute monotonicity;    33B10;    33B15;    33B20;    26A48;    26D07;   

DOI  :  10.1186/s13660-016-1143-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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】

CC BY