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Generalized integral inequalities for ABK-fractional integral operators
Journal article   Open access  Peer reviewed

Generalized integral inequalities for ABK-fractional integral operators

Saad Ihsan Butt, Erhan Set, Saba Yousaf, Thabet Abdeljawad, Wasfi Shatanawi and Department of Medical Research, China Medical University, Taichung 40402, Taiwan
AIMS mathematics, Vol.6(9), pp.10164-10191
01/01/2021
DOI: https://doi.org/10.3934/math.2021589

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK-fractional integrals to obtain two general integral identities complying second-order derivatives for a given function. Thus allowing us to derive new generalized Hermite-Hadamard type inequalities via ABK- fractional integrals. Moreover we give several new versions of Mid-point and Trapezoid type inequalities by employing Holder, Young and Jensen inequalities.
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https://doi.org/10.3934/math.2021589View
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