@article{Liu2022, 
author = {Jia-Bao Liu and Saad Ihsan Butt and Jamshed Nasir and Adnan Aslam and Asfand Fahad and Jarunee Soontharanon},
title = {Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2123-2141},
keywords = {Jensen-Mercer inequality, Atangana-Baleanu fractional operators, q-digamma function, convex function},
url = {https://www.sciopen.com/article/10.3934/math.2022121},
doi = {10.3934/math.2022121},
abstract = {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.}
}