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A note on Ostrowski's inequality [PDF]
Journal of Inequalities and Applications, 2005 This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is ...
Niculescu Constantin P, Florea Aurelia
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Generalizations of weighted version of Ostrowski's inequality and some related results [PDF]
Journal of Inequalities and Applications, 2000 We establish some new weighted integral identities and use them to prove a number of inequalities of Ostrowski type. Among other results, we generalize one result related to the weighted version of the Ostrowski's inequality of Pečarić and ...
Pečarić J +2 more
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On New Generalized Ostrowski Type Integral Inequalities [PDF]
Abstract and Applied Analysis, 2014 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality.
A. Qayyum +3 more
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Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I) [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
Dragomir Silvestru Sever
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A Note on Ostrowski's Inequality [PDF]
Mathematical Inequalities & Applications, 2001 The authors introduce a generalised version of Ostrowski's inequality in the perspective of an inner product space and further show that it is actually a statement about projections.
Hrvoje Šikić, Tomislav Šikić
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A weighted companion of Ostrowski's inequality using three step weighted kernel [PDF]
, 2019 There are numerous works suggesting linking SSM models to information systems (IS) models for information systems development. In these works links between SSM and IS models are established at the conceptual level i.e.
Sofian T. Obeidat +2 more
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Revisiting Ostrowski's Inequality [PDF]
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 $f:[a,b]\to\mathbb{R}$ is differentiable and $f'\in L^{\infty}[a, b]$, then for any $p\in\,]a,b[\,$, the following functional
Alok Goswami
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On some classical integral inequalities in the setting of new post quantum integrals
AIMS Mathematics, 2023 In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality ...
Bandar Bin-Mohsin +6 more
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Generalizations of Ostrowski type inequalities via F-convexity
AIMS Mathematics, 2022 The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci +3 more
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Fractal and Fractional, 2023 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations.
Gauhar Rahman +5 more
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