TITLE:
On Certain Properties of Trigonometrically ρ-Convex Functions
AUTHORS:
Mohamed Sabri Salem Ali
KEYWORDS:
Generalized Convex Functions; Trigonometrically ρ-convex Functions; Supporting Functions; Average Functions; Extremum Problems
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.5,
September
26,
2012
ABSTRACT: The aim of this paper is to prove that the average function of a trigonometrically ρ-convex function is trigonometrically ρ-convex. Furthermore, we show the existence of support curves implies the trigonometric ρ-convexity, and prove an extremum property of this function.