On Certain Properties of Trigonometrically ρ-Convex Functions

Mohamed Sabri Salem Ali

Department of Mathematics, Faculty of Basic Education, PAAET, Shamiya, Kuwait.

DOI: 10.4236/apm.2012.25047                

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.

Keywords

Generalized Convex Functions; Trigonometrically ρ-convex Functions; Supporting Functions; Average Functions; Extremum Problems

Conflicts of Interest

The authors declare no conflicts of interest.

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