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

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

Uložené v:
Podrobná bibliografia
Vydané v:Journal of approximation theory Ročník 174; s. 1 - 9
Hlavní autori: Jiang, Wei-Dong, Wang, Miao-Kun, Chu, Yu-Ming, Jiang, Yue-Ping, Qi, Feng
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 01.10.2013
Predmet:
Conjecture
Generalized hyperbolic sine
Generalized sine
Geometric convexity
Inequality
Generalized hyperbolic sine
Geometric convexity
Generalized sine
Conjecture
Inequality
ISSN:0021-9045, 1096-0430
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:In the paper, the authors prove that the generalized sine function sinp,qx and the generalized hyperbolic sine function sinhp,qx are respectively geometrically concave and geometrically convex. Consequently, the authors verify a conjecture posed by B. A. Bhayo and M. Vuorinen.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2013.06.005