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Simpson’s type integral inequalities for ĸ-fractional integrals and their applications

Saima Rashid Ahmet Ocak Akdemir Fahd Jarad Muhammad Aslam Noor Khalida Inayat Noor

*Corresponding author: Ahmet Ocak Akdemir aocakakdemir@gmail.com

Math2019,4,1087doi:10.3934/math.2019.4.1087

In this paper, some new inequalities of Simpson's type are set up for the classes of functions whose derivatives of absolute are preinvex by means of ĸ-fractional integrals. Additionally, by extraordinary choices of n and ĸ, we give some diminished outcomes. Meanwhile, we also provide the inequalities for $\mathcal{F}$-divergence measures and in probabilistic versions.

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