Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities

Some generalized Ostrowski-Grüss type integral inequalities

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.

New Weighted Ostrowski and Ostrowski-grüss Type Inequalities on Time Scales

In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.

Weighted Ostrowski, Trapezoid and Grüss Type Inequalities on Time Scales

In this paper we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski, trapezoid and Grüss type inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.

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...