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相关论文: A generalization of Ostrowski type inequality for …

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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

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

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 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 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 several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of…

经典分析与常微分方程 · 数学 2010-05-06 M. Z. Sarikaya , E. Set , M. E. 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 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 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 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 new inequalities of Ostrowski type for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates…

经典分析与常微分方程 · 数学 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

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 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, 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

In this work, an extension of two-point Ostrowski's formula for $n$-times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink type for this extension is provided. Error estimates for the…

经典分析与常微分方程 · 数学 2019-05-24 Mohammad W. Alomari

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

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

A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.

经典分析与常微分方程 · 数学 2007-05-23 Sever S. Dragomir , Anca C. Gosa

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

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
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