Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

2020 
This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for $(\alpha, h-m)$ convex functions. A generalized fractional Hadamard inequality is established. All the results hold for h-convex, $(h, m)$ -convex, $(\alpha, m)$ -convex, $(s, m)$ -convex, and associated functions.
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