On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions

In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for strongly p-convex functions of higher order. The acquired inequalities ensure boundedness, continuity, and Hadamard type inequality for fractional integrals containing an expanded Mittag-Leffler function. Furthermore, these results can be refined for various classes of strongly convex functions offered in the literature.

کلیدواژه ها:

Mittag-Leffler function ، Strongly p-convexity of higher order ، k-fractional integrals ، Hadamard inequality ، Fej\'er-Hadamard inequality