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