Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals


  • M. Omaba University of Hafr Al Batin, P.O. Box 1803 Hafr Al Batin 31991, Saudi Arabia


Hermite-Hadamard inequalities, Mittag-Leffler function, generalized Katugampola fractional integral, convex and positive stochastic process
Published online: 2022-12-30


A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for a positive convex stochastic process, are established. Other known results are easily deduced as particular cases of these inequalities. The obtained results also hold for any convex function.

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How to Cite
Omaba, M. Generalized Fractional Inequalities of the Hermite-Hadamard Type via New Katugampola Generalized Fractional Integrals. Carpathian Math. Publ. 2022, 14, 475-484.