Abstract
In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities.
Highlights
First we give definitions of fractional integral operators which are useful in establishing the results of this paper
We give fractional integral operators defined by Andricet al. in [1] via an extended generalized MittagLeffler function in their kernels
(iii) If we take p 0, δ r 1 and θ(x) x in equations (5) and (6), these reduce to fractional integral operators containing extended generalized Mittag-Leffler function introduced by Srivastava and Tomovski in [6]
Summary
First we give definitions of fractional integral operators which are useful in establishing the results of this paper. (iii) If we take p 0, δ r 1 and θ(x) x in equations (5) and (6), these reduce to fractional integral operators containing extended generalized Mittag-Leffler function introduced by Srivastava and Tomovski in [6]. After introducing generalized fractional integral operators, we define notions of functions for which
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