International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 525-534
doi:10.1155/S0161171299225252

A note on convex functions

Yu-Ru Syau

Department of Industrial Engineering, Yuan Ze University, Taoyuan 320, Taiwan

Abstract

In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.