Geometric Convexity of the Generalized Sine and the Generalized Hyperbolic Sine
نویسندگان
چکیده
In the paper, the authors prove that the generalized sine function sinp,q(x) and the generalized hyperbolic sine function sinhp,q(x) are geometrically concave and geometrically convex, respectively. Consequently, the authors verify a conjecture posed in the paper “B. A. Bhayo and M. Vuorinen, On generalized trigonometric functions with two parameters, J. Approx. Theory 164 (2012), no. 10, 1415–1426; Available online at http: //dx.doi.org/10.1016/j.jat.2012.06.003”.
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تاریخ انتشار 2014