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

1 Department of Mathematics, Government University Faisalabad, Pakistan
2 Department of Mathematics, COMSATS University Islamabad, Pakistan
3 Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Ҫeҫen University, Agri, Turkey
4 Department of Mathematics, Ҫankaya University, 06790 Etimesgut, Ankara, Turkey

## Abstract    Full Text(HTML)    Figure/Table

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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