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

• Autores: Wei-Dong Jiang, Miao-Kun Wang, Yu-Ming Chu, Yue-Ping Jiang, Feng Qi
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 174, Nº 1, 2013, págs. 1-9
• Idioma: inglés
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• Resumen

  • 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.