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Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator
AIMS Mathematics 2022, 7(2): 2123-2141
Published: 15 February 2022
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We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels. We establish trapezoidal type identities for fractional operator involving non-singular kernel and give Jensen-Mercer (JM) variants of Hermite-Hadamard type inequalities for differentiable mapping Υ possessing convex absolute derivatives. We establish connections of our results with several renowned results in the literature and also give applications to special functions.

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