Improvement and further generalization of inequalities of Ostrowski-Grüss type

Some generalized Ostrowski-Grüss type integral inequalities

New Generalization of Perturbed Ostrowski Type Inequalities and Applications

X iv :0 70 5. 35 56 v1 [ m at h. FA ] 2 4 M ay 2 00 7 New Generalization of Perturbed Ostrowski Type Inequalities and Applications Wen-jun Liu, Qiao-ling Xue, Jian-wei Dong Abstract: Generalizations of Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given.

On Generalization of Cebysev Type Inequalities

In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.

A new generalized Ostrowski Grüss type inequality and applications

Integration with weight functions is used in countless mathematical problems such as: approximation theory and spectral analysis, statistical analysis and the theory of distributions. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Barnett et al. in 2001 and Rafiq et al. in 2006. We also discuss some other interesting inequaliti...

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 ...