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Simpson's type integral inequalities for kappa-fractional integrals and their applications

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2019

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Amer Inst Mathematical Sciences-AIMS

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Abstract

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 kappa-fractional integrals. Additionally, by extraordinary choices of n and kappa, we give some diminished outcomes. Meanwhile, we also provide the inequalities for F-divergence measures and in probabilistic versions.

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Simpson's Type Inequality, S-Preinvex Functions, Kappa-Fractional Integrals

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Rashid, Saima...et al. (2019). "Simpson's type integral inequalities for kappa-fractional integrals and their applications", Amer Inst Mathematical Sciences-AIMS, Vol. 4, No. 4, pp. 1087-1100.

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AIMS Mathematics

Volume

4

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4

Start Page

1087

End Page

1100