Ostrowski Type Inequalities Related to the Generalized Baouendi-Grushin Vector Fields

Some generalized Ostrowski-Grüss type integral inequalities

Fuzzy Ostrowski type inequalities

We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a, b] ⊂ R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected ...

Generalized vector variational-type inequalities

Solvabilities of generalized vector variational-type inequalities (GVVTI) are discussed in this work. First, the solvability of GVVTI without monotone assumption for mappings is considered in (reflexive) Banach spaces by using Brouwer fixed point theorem (Browder fixed point theorem). Second, the solvability of GVVTI with monotone assumption for mappings is considered in reflexive Banach spaces...

High order Ostrowski type inequalities

We generalize Ostrowski inequality for higher order derivatives, by using a generalized Euler type identity. Some of the inequalities produced are sharp, namely attained by basic functions. The rest of the estimates are tight. We give applications to trapezoidal and mid-point rules. Estimates are given with respect to L∞ norm. c © 2006 Elsevier Ltd. All rights reserved.

Some General Ostrowski Type Inequalities

A new general Ostrowski type inequality for functions whose (n − 1)th derivatives are continuous functions of bounded variation is established. Some special cases are discussed.