HERMITE--HADAMARD-TYPE INEQUALITIES FOR *DIFFERENTIABLE MULTIPLICATIVE m-PREINVEXITY AND (s,m)-PREINVEXITY VIA THE MULTIPLICATIVE TEMPERED FRACTIONAL INTEGRALS

摘要

In virtue of the conception of the multiplicative tempered fractional integrals, put for-ward by Fu et al. in the published article [AIMS Math., 6 (7): 7456-7478, 2021], we present a fractional integral identity for * differentiable functions. Based upon it, we develop several inequalities of Hermite-Hadamard type in association with * differentiable multiplicative m- preinvexity and (s,m)-preinvexity.

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