Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator

Kernel (algebra) Operator (biology)
DOI: 10.3934/math.2022121 Publication Date: 2021-11-08T10:31:29Z
ABSTRACT
<abstract><p>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 identities for operator involving kernel give Jensen-Mercer (JM) differentiable mapping $ \Upsilon possessing convex absolute derivatives. connections our results with several renowned in the literature also applications to special functions.</p></abstract>
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