Strong convexity and separation theorems

Nelson Merentes, Kazimierz Nikodem

Type: Article

Publication Date: 2015-06-25

Citations: 12

DOI: https://doi.org/10.1007/s00010-015-0360-4

Abstract

Characterizations of pairs of functions that can be separated by a strongly convex, approximately concave or c-quadratic-affine function are presented. As consequences, stability results of the Hyers-Ulam type are obtained.

Locations

Aequationes Mathematicae - View - PDF

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+	On Strongly Convex Functions and Related Classes of Functions	2014	Kazimierz Nikodem
+	Fundamentals of Convex Analysis	2001	Jean‐Baptiste Hiriart‐Urruty Claude Lemaréchal
+	Convex separation by regular pairs	2013	Mihály Bessenyei Patrícia Szokol
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+	On Convex Functions	1964	Mohamad Mehdi
+	Remarks on strongly convex functions	2010	Nelson Merentes Kazimierz Nikodem
+	Strongly convex analysis	1996	Е. С. Половинкин
+ PDF Chat	On strongly $h$-convex functions	2011	Hiliana Angulo José Ariel Giménez ‎Ana Milena Moros Kazimierz Nikodem
+	Separation via quadratic functions	1996	Zsolt Páles Vera Zeidan
+	On the abstract Hahn-Banach theorem due to Rodé	1987	Heinz König