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Related papers: Weighted Ostrowski-Gr\"uss type inequalities

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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

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

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 obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

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 improve and further generalize some Ostrowski-Gr\"uss type inequalities for the fractional integrals by using new Montogomery identities.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Naihan Basak

Generalizations of Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given.

Functional Analysis · Mathematics 2007-05-25 Wen-jun Liu , Qiao-ling Xue , Jian-wei Dong

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type. From our results, the classical Ostrowski-Gr\"uss type inequalities can be deduced as some special…

Classical Analysis and ODEs · Mathematics 2012-03-15 Mehmet Zeki Sarikaya , Hatice Yaldiz

We obtain inequalities of H\"{o}lder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of non-negative weights.

Classical Analysis and ODEs · Mathematics 2015-06-10 Petr Chunaev , Ljiljanka Kvesić , Josip Pečarić

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

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

An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir

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

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

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 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

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

Probability · Mathematics 2018-07-31 Iosif Pinelis

In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functions which are super-multiplicative or super-additive and nonnegative. Some applications for special means and PDF's are given.

Functional Analysis · Mathematics 2014-02-03 Mevlut Tunc

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 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
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