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相关论文: Some companions of perturbed Ostrowski type inequa…

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A companion of Ostrowski like inequality for mappings whose second derivatives belong to $L^{\infty}$ spaces is established. Applications to composite quadrature rules, and to probability density functions are also given.

泛函分析 · 数学 2012-02-14 Wenjun Liu

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.

泛函分析 · 数学 2012-10-24 M. Emin Özdemir , Merve Avci Ardic

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.

泛函分析 · 数学 2012-07-18 Wenjun Liu , Yun Sun

Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.

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

In this paper we establish some new bounds for the companion of Ostrowski's inequality for the case when $f'\in L^1[a,b]$, $f"\in L^2[a,b]$ and $f'\in L^2[a,b]$, respectively. We point out that the results in the first and third cases are…

泛函分析 · 数学 2012-05-22 Wenjun Liu

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.

泛函分析 · 数学 2012-10-29 M. Emin Özdemir , Merve Avci Ardic

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…

经典分析与常微分方程 · 数学 2015-03-31 Ather Qayyum , Ibrahima Faye , Muhammad Shoaib , Muhammad Amer Latif

Some new inequalities of Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.Applications for special means are also provided.

经典分析与常微分方程 · 数学 2010-06-15 Erhan Set , Mehmet Zeki Sarikaya , M. Emin Ozdemir

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

泛函分析 · 数学 2007-05-25 Wen-jun Liu , Qiao-ling Xue , Jian-wei Dong

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

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

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…

数值分析 · 数学 2025-10-20 Sever Silvestru Dragomir

In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.

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 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

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…

偏微分方程分析 · 数学 2017-05-09 Muharrem Tomar , Praveen Agarwal , Mohamed Jleli

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 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

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 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…

经典分析与常微分方程 · 数学 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.

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