331 research outputs found

    New estimates on generalization of some integral inequalities for s-convex functions and their applications

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    In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are s-convex (in the second sense). Some applications to special means of real numbers are also given.Comment: 16 page

    Ostrowski type inequalities for harmonically s-convex functions via fractional integrals

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    In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are established.Comment: 14 page

    Ostrowski type inequalities for functions whose derivatives are preinvex

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    In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.Comment: 10 page
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