Mathematica Eterna
Open Access

Abstract

On approximate m-convexity of sub-homogeneous functions

Teodoro Lara, Nelson Merentes and Roy Quintero

In this article we introduce the concepts of approximate Jensen mconvexity and approximate Wright m-convexity for real valued functions defined on the set of nonnegative real numbers. We prove some Bernstein-Doetsch type results for real valued sub-homogeneous functions defined on the set of all positive real numbers.