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相关论文: Some Companions of Ostrowski's Inequality for Abso…

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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 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 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

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 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

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 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

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

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 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 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 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 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.

泛函分析 · 数学 2014-02-03 Mevlut Tunc

An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are given.

经典分析与常微分方程 · 数学 2007-05-23 Sever Silvestru Dragomir

We provide algorithms for the absolute and alternating Ostrowski Expansions of the continuum and provide proofs for their uniqueness.

数论 · 数学 2016-06-09 Avraham Bourla

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 several inequalities of Ostrowski type that the absolute values of n-time differntiable functions are convex.

泛函分析 · 数学 2014-02-21 M. Emİn Özdemİr , ÇEtİn Yildiz

In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our results to P.D.F.'s are given.

经典分析与常微分方程 · 数学 2013-06-04 Mevlut Tunc , Ahmet Ocak Akdemir

In this note, we present two general classes of integral inequalities motivated by their applications to infinite dimensional systems. The inequalities possess general structures in terms of weight functions and lower quadratic bounds. Many…

最优化与控制 · 数学 2019-09-17 Qian Feng , Sing Kiong Nguang
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