Generalization of Quantum Ostrowski-Type Integral Inequalities

Integral Inequalities of the Ostrowski Type

Integral inequalities of Ostrowski type are developed for n−times differentiable mappings, with multiple branches, on the L∞ norm. Some particular inequalities are also investigated, which include explicit bounds for perturbed trapezoid, midpoint, Simpson’s, NewtonCotes and left and right rectangle rules. The results obtained provide sharper bounds than those obtained by Dragomir [5] and Cerone...

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.

New Weighted Čebyšev–ostrowski Type Integral Inequalities on Time Scales

In this paper we obtain some weighted Čebyšev-Ostrowski type integral inequalities on time scales involving functions whose first derivatives belong to Lp (a,b) (1 p ∞) . We also give some other interesting inequalities as special cases. Mathematics subject classification (2010): 26D15, 26E70.

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.