Generalized double-integral Ostrowski type inequalities on time scales

AbstractAn Ostrowski type inequality for a double integral is derived via a ΔΔ-integral on time scales; this generalizes an Ostrowski type inequality and some related results from Liu et al. (2010) [1]. Some new applications are also given

Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales

In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented

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.Comment: 10 page

Some new generalized 2D Ostrowski-Grüss type inequalities on time scales

AbstractIn this paper, we present some new generalized 2D Ostrowski-Grüss type integral inequalities on time scales, which on one hand extend some known results in the literature, and on the other hand unify corresponding continuous and discrete analysis. New bounds for the 2D Ostrowski-Grüss type inequalities are derived, some of which are sharp

Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities on time scales via a parameter function

We prove generalized weighted Ostrowski and Ostrowski–Gr ¨uss type inequalities on time scales via a parameter function. In particular, our result extends a result of Dragomir and Barnett. Furthermore, we apply our results to the continuous, discrete, and quantum cases, to obtain some interesting new inequalitie

Some new dynamic Inequality on time scales in three variables

In this paper we obtain the estimates on some dynamic integral inequalities in three variables which can be used to study certain dynamic equations. We give some applications to convey the importance of our result

Generalized weighted Cebysev and Ostrowski type inequalities for double integrals

In this paper, we firstly establish generalized weighted Montgomery identity for double integrals. Then, some generalized weighted Cebysev and Ostrowski type inequalities for double integrals are given.Publisher's Versio

Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates

In 2016, some inequalities of the Ostrowski type for functions (of two variables) differentiable on the coordinates were established. In this paper, we extend these results to an arbitrary time scale by means of a parameter λ∈0,1. The aforementioned results are regained for the case when the time scale T=R. Besides extension, our results are employed to the continuous and discrete calculus to get some new inequalities in this direction