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M. M. Peixoto, “Generalized Convex Functions and Sec- ond Order Differential Inequlities,” Bulletin of the American Mathematical Society, Vol. 55, No. 6, 1949, pp. 563-572. doi:10.1090/S0002-9904-1949-09246-7

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.