Ostrowski type inequalities for sets and functions of bounded variation
نویسندگان
چکیده
منابع مشابه
Ostrowski type inequalities for sets and functions of bounded variation
In this paper we obtain sharp Ostrowski type inequalities for multidimensional sets of bounded variation and multivariate functions of bounded variation.
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We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.
متن کاملOstrowski type inequalities for functions whose derivatives are preinvex
In this paper, making use of a new identity, we establish new inequalities of Ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
متن کاملOn Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f ′| is convex is explored. Applications for the midpoint rule and a generalised trapezoid type rule are also presented.
متن کاملostrowski type inequalities for functions whose derivatives are preinvex
in this paper, making use of a new identity, we establish new inequalities of ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2017
ISSN: 1029-242X
DOI: 10.1186/s13660-017-1429-5