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On approximate m-convexity of sub-homogeneous functions

By T. Lara, N. Merentes, R. Quintero and E. Rosales

Abstract

In this article we introduce the concepts of approximate Jensen m-convexity 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

Topics: Approximately m -convex function, Approximately Jensen m - convex function, Approximately Wright m -convex function, Bernstein-Doetsch theorem., Mathematics, QA1-939
Publisher: Hilaris
Year: 2016
OAI identifier: oai:doaj.org/article:28935eded0ee4025b3c2c30a7912db5d
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