MMN-2441
Improvement of fractional Hermite-Hadamard type inequality for convex functions
Mehmet Kunt; Imdat Iscan; Sercan Turhan; Dünya Karapinar;Abstract
In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejer inequality are just results of Hermite-Hadamard-Fejer inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result of Hermite-Hadamard-Fejer inequality and better than given in [9] by Sarıkaya et al. is obtained. Also, a new equality is proved and some new fractional midpoint type inequalities are given. Our results generalizes the results given in [5] by Kırmacı.
Vol. 19 (2018), No. 2, pp. 1007-1017