Resumen de Convexity of the generalized sine function and the generalized hyperbolic sine function

Wei-Dong Jiang, Miao-Kun Wang, Yu-Ming Chu, Yue-Ping Jiang, Feng Qi

• In the paper, the authors prove that the generalized sine function sinp,q x and the generalized hyperbolic sine function sinhp,q x are respectively geometrically concave and geometrically convex. Consequently, the authors verify a conjecture posed by B. A. Bhayo and M. Vuorinen.