Ostrowski Type Inequalities from a Linear Functional Point of View
نویسنده
چکیده
Inequalities are obtained using P0-simple functionals. Applications to Lipschitzian mappings are given.
منابع مشابه
New Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications
Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.
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 کاملSome Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded
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 کاملSome new Ostrowski type fractional integral inequalities for generalized $(r;g,s,m,varphi)$-preinvex functions via Caputo $k$-fractional derivatives
In the present paper, the notion of generalized $(r;g,s,m,varphi)$-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo $k$-fractional derivatives. At the end, some applications to special means are given.
متن کاملOstrowski Type Inequalities for Isotonic Linear Functionals
Some inequalities of Ostrowski type for isotonic linear functionals defined on a linear class of function L := {f : [a, b] → R} are established. Applications for integral and discrete inequalities are also given.
متن کامل