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 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