SOME GENERALIZED HADAMARD TYPE TRAPEZOID INEQUALITIES VIA EXPONENTIALLY (m 1 ,m 2 )− CONVEX FUNCTIONS AND THE FRACTIONAL INTEGRAL OPERATOR

Author(s) : Bahtiyar Bayraktar, Saad Ihsan Butt, Shahid Shaokat

Abstract:

In this paper, on the basis of the proved identities, we obtain generalized integral inequalities of the Hermite-Hadamard type for exponentially (m 1 ,m 2 )−convex functions in terms of the Riemann-Liouville fractional integration operators. Some results existing in the literature are some special cases of our results.