Generalization of Ostrowski and Ostrowski–Grüss type inequalities on time scales

Abstract

a b s t r a c tIn this paper, we obtain an Ostrowski and Ostrowski-Grüss type inequality on time scales, which not only provides a generalization of the known results on time scales, but also give some other interesting inequalities as special cases.

Generalized Weighted Ostrowski, Trapezoid and Grüss Type Inequalities on Time Scales

“…Some various generalizations and extensions of the dynamic Ostrowski inequality can be found in the papers [34,33,5,18,50,24,32,37,45,47,48,43,42,41].…”

On Weighted Montgomery Identity for k Points and Its Associates on Time Scales

“…To be precise, we proved a generalization of the Montgomery identity and then used the resultant equation to obtain a weighted Ostrowski inequality for points, thus generalizing a result of Liu and Ngô [11]. Furthermore, we obtained an OstrowskiGrüss type inequality which generalizes and extends results of Tuna and Daghan [12] and Feng and Meng [15].…”

Some New Perturbed Generalizations of Ostrowski- Gr �uss Type Inequalities for Bounded Differentiable Mappings and Applications

“…More recently, Theorem 3 was proved for general time scales by Tuna and Daghan in [8]. Sarikaya [6] established a similar inequality of Ostrowski-type involving functions of two independent variables.…”

“…Remark.We point out that, as in [8] and [6], Theorem 5 may be proved for general time scales or be similarly extended to inequalities involving functions of two independent variables. The details are left for the interested reader.…”