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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