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

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We first prove some weighted inequalities for compositions of functions on time scales which are in turn applied to establish some new dynamic Opial-type inequalities in several variables. Some generalizations and applications to partial…

经典分析与常微分方程 · 数学 2016-05-31 Tran Dinh Phung

The main objective of this paper is to study some Ostrowski and Cebysev type inequalities in three variables on Time Scales

经典分析与常微分方程 · 数学 2017-06-27 Deepak B. Pachpatte

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 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

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 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…

综合数学 · 数学 2025-08-05 Angshuman R. Goswami

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

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, 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

We establish some nonlinear integral inequalities for functions defined on a time scale. The results extend some previous Gronwall and Bihari type inequalities on time scales. Some examples of time scales for which our results can be…

经典分析与常微分方程 · 数学 2009-06-11 Rui A. C. Ferreira , Delfim F. M. Torres

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 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

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

In this paper, some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions, which are super-multiplicative or super-additive, are given. These results not only generalize those of Set (2012) and Tunc…

泛函分析 · 数学 2012-11-21 Wenjun Liu

Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are given.

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 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

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 improve and further generalize some Ostrowski-Gr\"uss type inequalities for the fractional integrals by using new Montogomery identities.

经典分析与常微分方程 · 数学 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Naihan Basak

In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

经典分析与常微分方程 · 数学 2012-08-01 Imdat Iscan

In the article we propose a general scheme for solutions of some approximation problems under a rather general setting. We illustrate the application of the proposed scheme by a series of examples, in particular we show that many results in…

泛函分析 · 数学 2023-12-29 Oleg Kovalenko