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

• DOI: 10.3934/math.2022121
• Publication Date: 2021-11-08T10:31:29Z
• Authors: Jia-Bao Liu; ; Saad Ihsan Butt; Jamshed Nasir; Adnan Aslam; Asfand Fahad; Jarunee Soontharanon
• Keywords: Kernel (algebra); Operator (biology)

<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>