Generalized Convex Functions and Some Inequalities on Fractal Sets
Classical Analysis and ODEs
2014-06-30 v2
Abstract
In the paper, we introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen inequality and generalized Hermite-Hadamard inequality. Furthermore,some applications are given.
Keywords
Cite
@article{arxiv.1404.3964,
title = {Generalized Convex Functions and Some Inequalities on Fractal Sets},
author = {Huixia Mo and Xin Sui and Dongyan Yu},
journal= {arXiv preprint arXiv:1404.3964},
year = {2014}
}