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The main objective of this paper is to study some Ostrowski and Trapezoid type inequalities for double integrals on Time Scales. Some other interesting inequalities are also given.

经典分析与常微分方程 · 数学 2018-07-27 Deepak B. Pachpatte

In this paper we obtain some weighted generalizations of Ostrowski type inequalities on time scales involving combination of weighted {\Delta}-integral means, i.e., a weighted Ostrowski type inequality on time scales involving combination…

泛函分析 · 数学 2012-07-19 Wenjun Liu , Hüseyin Rüzgar , Adnan Tuna

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…

泛函分析 · 数学 2011-04-05 Wenjun Liu , Quoc Anh Ngo

In this paper we first extend a generalization of Ostrowski type inequality on time scales for functions whose derivatives are bounded and then unify corresponding continuous and discrete versions. We also point out some particular integral…

综合数学 · 数学 2011-04-05 Wenjun Liu , Quoc Anh Ngo , Wenbin Chen

The main objective of the paper is to establish explicit estimates on some applicable inequalities in two variables on time scales which can be used in the study of certain qualitative properties of dynamical equations on time scales.

偏微分方程分析 · 数学 2015-06-19 Deepak B. Pachpatte

In this paper we derive a new inequality of Ostrowski-Gruss type on time scales and thus unify corresponding continuous and discrete versions. We also apply our result to the quantum calculus case.

泛函分析 · 数学 2011-04-05 Wenjun Liu , Quoc Anh Ngo

In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.

经典分析与常微分方程 · 数学 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

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.

动力系统 · 数学 2016-03-31 Deepak B. Pachpatte

In this note, we establish new an inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

经典分析与常微分方程 · 数学 2010-05-05 M. Z. Sarikaya

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…

经典分析与常微分方程 · 数学 2017-10-11 Seth Kermausuor , Eze R. Nwaeze , Delfim F. M. Torres

The aim of this paper is to obtain some generalized weighted Ostrowski inequalities for differentiable mappings. Some well known inequalities can be derived as special cases of the inequalities obtained here. In addition, perturbed…

经典分析与常微分方程 · 数学 2014-01-29 Ather Qayyum , Silvestru Sever Dragomir , Muhammad Shoaib

In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

经典分析与常微分方程 · 数学 2010-05-05 M. Z. Sarikaya , H. Ogunmez

The ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Dragomir, Wang and Cerone…

经典分析与常微分方程 · 数学 2014-01-20 Ather Qayyum , Silvestru Sever Dragomir , Muhammad Shoaib , Muhammad Amir Latif

In this paper, we obtain several inequalities of Ostrowski type that the absolute values of n-time differntiable functions are convex.

泛函分析 · 数学 2014-02-21 M. Emİn Özdemİr , ÇEtİn Yildiz

Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are given.

经典分析与常微分方程 · 数学 2025-10-20 Sever Silvestru Dragomir

In this paper, we establish Ostrowski's type inequalities for strongly-convex functions where c>0 by using some classical inequalities and elemantery analysis. We also give some results for product of two strongly-convex functions.

经典分析与常微分方程 · 数学 2012-06-12 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , A. Ocak Akdemir

The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequalities which are more generalized than the inequalities of Dragomir and Cerone. The current article obtains bounds for the deviation of a function…

经典分析与常微分方程 · 数学 2015-05-15 Ather Qayyum , Muhammad Shoaib , Ibrahima Faye

In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.

经典分析与常微分方程 · 数学 2013-11-12 Imdat Iscan

We obtain some new inequalities of Chebyshev Type.

数值分析 · 数学 2016-10-03 Andriy L. Shidlich , Stanislav O. Chaichenko

Several inequalities of Ostrowski-Gruss-type availabe in the literature are generalized by considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper error bounds of such…

经典分析与常微分方程 · 数学 2015-02-17 Ana Maria Acu , Heiner Gonska
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