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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.

Classical Analysis and ODEs · Mathematics 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…

Functional Analysis · Mathematics 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…

Functional Analysis · Mathematics 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…

General Mathematics · Mathematics 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.

Analysis of PDEs · Mathematics 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.

Functional Analysis · Mathematics 2011-04-05 Wenjun Liu , Quoc Anh Ngo

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

Classical Analysis and ODEs · Mathematics 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.

Dynamical Systems · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Functional Analysis · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 2013-11-12 Imdat Iscan

We obtain some new inequalities of Chebyshev Type.

Numerical Analysis · Mathematics 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…

Classical Analysis and ODEs · Mathematics 2015-02-17 Ana Maria Acu , Heiner Gonska
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