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相关论文: A Weighted Ostrowski Type inequality for L$_{1}\le…

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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

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

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 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 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 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

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

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

In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequalities are deduced and investigated. New Simpson's type…

经典分析与常微分方程 · 数学 2014-08-08 Mohammad W. Alomari

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 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

The main purpose of this paper is to establish some isoperimetric type inequalities for mappings induced by the weighted Laplace differential operators. The obtained results of this paper provide improvements and extensions of the…

复变函数 · 数学 2023-02-20 Jiaolong Chen , Shaolin Chen , Manzi Huang , Huaqing Zheng

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…

泛函分析 · 数学 2012-05-22 Wenjun Liu , Yiting Zhu

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

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 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.

经典分析与常微分方程 · 数学 2012-11-29 Mevlut Tunc

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 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

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

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
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