# New Hermite-Hadamard type inequalities on fractal set

Document Type : Review articles

Authors

1 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

2 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

3 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

4 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

Abstract

In this study, we present the new Hermite-Hadamard type inequality for functions which are $h$-convex on fractal set $\mathbb{R}^{\alpha }$ $(0<\alpha \leq 1)$ of real line numbers. Then we provide the special cases of the result using different type of convex mappings.

Keywords