4.4 Article

Hermite-Hadamard-Mercer Type Inequalities for Fractional Integrals

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FILOMAT
卷 35, 期 7, 页码 2425-2436

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UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2107425O

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Convex function; Hermite-Hadamard inequalities; Jensen inequality; Jensen-Mercer inequality; Fractional integrals

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In this paper, we proved the Hermite-Hadamard-Mercer inequalities for fractional integrals and established new fractional inequalities associated with the right and left sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings with convex absolute value derivatives.
In the present note, we proved Hermite-Hadamard-Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.

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