On some Ostrowski type inequalities via Montgomery identity and Taylor's formula II

On some Ostrowski type inequalities

In this paper we study Ostrowski type inequalities. We generalize some of the results presented in [1]. 2000 Mathematical Subject Classification: 26D15

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.

Some generalized Ostrowski-Grüss type integral inequalities

Some Sharp Ostrowski-grüss Type Inequalities

Using a variant of Grüss inequality, to give a new proof of a well known result on Ostrowski-Grüss type inequalities and sharpness of this inequality is obtained. Moreover, a new general sharp Ostrowski-Grüss type inequality is given.

Ostrowski Type Inequalities over Balls and Shells via a Taylor-widder Formula

The classical Ostrowski inequality for functions on intervals estimates the value of the function minus its average in terms of the maximum of its first derivative. This result is extended to higher order over shells and balls of R , N ≥ 1, with respect to an extended complete Tschebyshev system and the generalized radial derivatives of Widder type. We treat radial and non-radial functions.