Article ID Journal Published Year Pages File Type
841066 Nonlinear Analysis: Theory, Methods & Applications 2011 5 Pages PDF
Abstract

The notion of strongly nn-convex functions with modulus c>0c>0 is introduced and investigated. Relationships between such functions and nn-convex functions in the sense of Popoviciu as well as generalized convex functions in the sense of Beckenbach are given. Characterizations by derivatives are presented. Some results on strongly Jensen nn-convex functions are also given.

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