On the Ostrowski generalization of C̆ebyšev's inequality

A New Generalization of Ostrowski Type Inequality on Time Scales

(b− a)‖f ‖∞. (1) The inequality is sharp in the sense that the constant 14 cannot be replaced by a smaller one. For some extensions, generalizations and similar results, see [6, 9, 10, 11, 13, 14] and references therein. The development of the theory of time scales was initiated by Hilger [7] in 1988 as a theory capable to contain both difference and differential calculus in a consistent way. S...

On the Weighted Ostrowski Inequality

On utilising an identity from [5], some weighted Ostrowski type inequalities are established.

A generalization of Ostrowski inequality on time scales for k points

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.

A generalization of the companion of Ostrowski-like inequality and applications

By introducing a parameter, we establish in this paper a generalization of the companion of Ostrowski-like type integral inequality for mappings whose second derivatives belong to L∞-spaces. Our result in special cases not only recapture known results, but also give a smaller estimator than that of the known results. Some applications to composite quadrature rules in numerical integration and t...

On the Ostrowski Type Integral Inequality for Double Integrals