In this article, we get solutions of some integral inequalities Hermite-Hadamard type and using the approach ($\psi$,$h$)-Convex function by way Riemann-Liouville Fractional integrals Katugampola operators.

‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

Abstract In this paper, we establish Jensen’s inequality for s -convex functions in the first sense. By using inequalities, obtain some Cauchy type means p and Also, by Hermite–Hadamard inequalities respective generalized convex functions, find new means.

We give some weighted double integral inequalities of Hermite-Hadamard type for co-ordinated convex functions in a rectangle from R2. The obtained provide generalizations result given earlier works.

Fej'{e}r  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r  Hadamard  inequalities for $k$-fractional integrals. We deduce Fej'{e}r  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.

In this work, the concepts of quantum derivative and integral were renamed to be left definite integral. Symmetrically left, a new (the right) defined. Some properties these investigated as well according do some inaccuracies in inequalities corrected. Moreover, Hermite-Hadamard type established.

New Hermite-Hadamard-type integral inequalities for φ-MT-preinvex functions are obtained. Our results in special cases yield some of those results proved in recent articles concerning with the differentiable MTconvex functions. Some applications to special means and the trapezoidal formula are also considered, respectively. c ©2016 All rights reserved.