International Journal of Nonlinear Analysis and Applications

New Hermite-Hadamard type inequalities on fractal set

Document Type : Review articles

Authors

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

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 782-789
  • Receive Date: 08 March 2017
  • Revise Date: 03 May 2018
  • Accept Date: 05 May 2018