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In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type. From our results, the classical Ostrowski-Gr\"uss type inequalities can be deduced as some special…

经典分析与常微分方程 · 数学 2012-03-15 Mehmet Zeki Sarikaya , Hatice Yaldiz

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

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 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

In this paper, the author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive reals…

经典分析与常微分方程 · 数学 2014-05-16 Imdat Iscan

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, 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

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 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 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, 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 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

Sharp inequalitieis of Gruss type for Stieltjes integrals with application in numerical integration 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 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 paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

经典分析与常微分方程 · 数学 2014-01-14 İmdat İscan

In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are give n. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals

经典分析与常微分方程 · 数学 2019-05-24 M. W. Alomari , A. Guessab

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 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 derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real…

经典分析与常微分方程 · 数学 2014-05-01 Imdat Iscan , Erhan Set , M. Emin Ozdemir

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
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