New Hermite-Hadamard type inequalities on fractal set

نویسندگان
Budak, Huseyin ID 1
Tunc, Tuba ID 2
Usta, Fuat ID 3
Zeki Sarikaya, Mehmet ID 4

1 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

2 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

3 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

4 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

doi
10.22075/ijnaa.2018.12156.1611
چکیده

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.

کلیدواژه‌ها
Hermite-Hadamard inequality, fractal set, h- convex function