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Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag-Leffler Function

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This paper aims to obtain the bounds of a class of integral operators containing Mittag–Leffler functions in their kernels. A recently defined unified Mittag–Leffler function plays a vital role in… Click to show full abstract

This paper aims to obtain the bounds of a class of integral operators containing Mittag–Leffler functions in their kernels. A recently defined unified Mittag–Leffler function plays a vital role in connecting the results of this paper with the well-known bounds of fractional integral operators published in the recent past. The symmetry of a function about a line is a fascinating property that plays an important role in mathematical inequalities. A variant of the Hermite–Hadamard inequality is established using the closely symmetric property for (α,m)-convex functions.

Keywords: leffler function; mittag leffler; unified mittag; mittag

Journal Title: Symmetry
Year Published: 2022

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