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.

Saved in:
Bibliographic Details
Published in:Journal of approximation theory Vol. 174; pp. 1 - 9
Main Authors: Jiang, Wei-Dong, Wang, Miao-Kun, Chu, Yu-Ming, Jiang, Yue-Ping, Qi, Feng
Format: Journal Article
Language:English
Published: Elsevier Inc 01.10.2013
Subjects:
Conjecture
Generalized hyperbolic sine
Generalized sine
Geometric convexity
Inequality
Generalized hyperbolic sine
Geometric convexity
Generalized sine
Conjecture
Inequality
ISSN:0021-9045, 1096-0430
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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