Boundedness of fractional integral operators containing Mittag-Leffler functions via (s,m)-convexity

Boundedness of fractional integral operators containing Mittag-Leffler functions via (s,m)-convexity

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The objective of this paper is to derive the bounds of fractional integral operators which contain Mittag-Leffler functions Figure Skating - Skates - Boys in the kernels.By using (s,m)-convex functions bounds of these operators are evaluated which lead to obtain their boundedness and continuity.Moreover the presented results can be used to get various results for known fractional Course a pied - Femme - Vetements - Cuissard integrals and functions deducible from (s,m)-convexity.Also a version of Hadamard type inequality is established for (s,m)-convex functions via generalized fractional integrals.