M. M. Peixoto, “On the Existence of Derivatives of Gen- eralized Convex Functions,” Summa Brasilian Mathematics, Vol. 2, No. 3, 1948, pp. 35-42.
has been cited by the following article:
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.