On $\varphi$-convexity
Classical Analysis and ODEs
2012-11-21 v1
Abstract
In this paper, approximate convexity and approximate midconvexity properties, called -convexity and -midconvexity, of real valued function are investigated. Various characterizations of -convex and -midconvex functions are obtained. Furthermore, the relationship between -midconvexity and -convexity is established.
Cite
@article{arxiv.1211.4599,
title = {On $\varphi$-convexity},
author = {Judit Makó and Zsolt Páles},
journal= {arXiv preprint arXiv:1211.4599},
year = {2012}
}