Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841066 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 5 Pages |
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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Authors
Roman Ger, Kazimierz Nikodem,