Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions
Differential Geometry
2018-08-03 v1
Abstract
As a generalization of geodesic function, in the present paper, we introduce the notion of geodesic -convex function and deduce some basic properties of -convex function and geodesic -convex function. We also introduce the concept of geodesic -convex set and -epigraph and investigate a characterization of geodesic -convex functions in terms of their -epigraphs.
Keywords
Cite
@article{arxiv.1706.05841,
title = {Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions},
author = {Absos Ali Shaikh and Akhlad Iqbal and Chandan Kumar Mondal},
journal= {arXiv preprint arXiv:1706.05841},
year = {2018}
}
Comments
14 pages