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\((h-m)\)-convex functions and associated fractional Hadamard and Fejér-Hadamard inequalities via an extended generalized Mittag-Leffler function. (English) Zbl 1499.26128

Summary: The aim of this paper is to present the Hadamard and the Fejér-Hadamard integral inequalities for \((h-m)\)-convex functions due to an extended generalized Mittag-Leffler function. These results contain several fractional integral inequalities for the well-known fractional integral operators. Also results for the generalized Mittag-Leffler function are mentioned.

MSC:

26D15 Inequalities for sums, series and integrals
26B25 Convexity of real functions of several variables, generalizations
26A33 Fractional derivatives and integrals
26A51 Convexity of real functions in one variable, generalizations
33E12 Mittag-Leffler functions and generalizations

References:

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