eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2014-07-13
2
3
96
101
10.12691/tjant-2-3-8
TJANT2014238
article
Some Inequalities for the Generalized Trigonometric and Hyperbolic Functions
Li Yin
yinli_79@163.com
1
Li-Guo Huang
1
and Feng Qi
2
3
4
Department of Mathematics, Binzhou University, Binzhou City, Shandong Province, China
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China
In the paper, the authors establish some inequalities of the generalized trigono-metric and hyperbolic functions, partially solve a conjecture posed by R. Klén, M. Vuorinen, and X.-H. Zhang, and finally pose an open problem.
http://pubs.sciepub.com/tjant/2/3/8/tjant-2-3-8.pdf
inequality
generalized trigonometric function
generalized hyperbolic functions
Bernoulli inequality
Huygens' inequality
Wilker's inequality
conjecture
open problem