Generalized double-integral Ostrowski type inequalities on time scales

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.

Some generalized Ostrowski-Grüss type integral inequalities

Ostrowski Inequalities on Time Scales

We prove Ostrowski inequalities (regular and weighted cases) on time scales and thus unify and extend corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.

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.

Weighted Ostrowski, Ostrowski-grüss and Ostrowski-čebyšev Type Inequalities on Time Scales

In this paper we derive weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev type inequalities on time scales. We also give some other interesting inequalities on time scales as special cases.