On strongly midconvex functions

In this paper we collect some properties of strongly midconvex functions. First, counterparts of the classical theorems of Bernstein-Doetsch, Ostrowski and Sierpinski are presented. A version of Rodé support theorem for strongly midconvex functions and a Kuhn-type result on the relation between stro...

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Bibliographic Details
Main Authors: Antonio Azócar, José Giménez, Kazimierz Nikodem, José Luis Sánchez
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2011-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol31/1/art/opuscula_math_3102.pdf