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In this work, an expansion of Guessab-Schmeisser two points formula for n-times differentiable functions via Fink type identity is established. Generalization of the main result for harmonic sequence of polynomials is established. Several…

Classical Analysis and ODEs · Mathematics 2017-03-07 Mohammad W. Alomari

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 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 first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized s convex in the second sense, we…

Analysis of PDEs · Mathematics 2017-05-09 Muharrem Tomar , Praveen Agarwal , Mohamed Jleli

In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ . Some well known inequalities can be derived as special cases. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2015-03-31 Ather Qayyum , Ibrahima Faye , Muhammad Shoaib , Muhammad Amer Latif

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

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

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

In this paper we establish a refinement of the companion of Ostrowski inequality for functions of bounded variation. Applications for the trapezoid inequality, the mid-point inequality, and to probability density functions are also given.

Functional Analysis · Mathematics 2012-07-18 Wenjun Liu , Yun Sun

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

In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.

Classical Analysis and ODEs · Mathematics 2012-11-29 Mevlut Tunc

In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error…

Classical Analysis and ODEs · Mathematics 2010-05-06 E. Set , M. E. Ozdemir , M. Z. Sarikaya

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 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

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

In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are…

Classical Analysis and ODEs · Mathematics 2014-01-03 Imdat Iscan

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

The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If…

General Mathematics · Mathematics 2025-08-05 Angshuman R. Goswami

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 some companions of perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Some applications to composite quadrature rules, and to probability density functions are also…

Functional Analysis · Mathematics 2012-05-22 Wenjun Liu , Yiting Zhu
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