On the generalization of Ostrowski and Grüss type discrete inequalities

Some generalized Ostrowski-Grüss type integral inequalities

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.

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.

An Ostrowski-Grüss type inequality on time scales

for all x ∈ [a, b]. This inequality is a connection between the Ostrowski inequality [12] and the Grüss inequality [13]. It can be applied to bound some special mean and some numerical quadrature rules. For other related results on the similar integral inequalities please see the papers [6, 10, 11, 14] and the references therein. The aim of this paper is to extend a generalizations of Ostrowski...

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