Some inequalities for the generalized trigonometric and hyperbolic functions

摘要

Some classical inequalities for trigonometric and hyperbolic functions, such as Shafer-Fink inequality, Shafer-Fink type inequality, and Wilker-type inequality, are generalized to the case of generalized functions. A conjecture posed by Klen, Vuorinen and Zhang [Journal of Mathematical Analysis and Applications, 409 (2014) 521-529] is proved.