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Some Weighted Ostrowski Type Inequalities
Vietnam Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2012
In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications.
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In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications.
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On Some Ostrowski Type Integral Inequalities
Sarajevo Journal of MathematicsIn this paper we establish some new Ostrowski type integral inequalities, by using the Montgomery identity and Taylor's formula.
Aglić Aljinović, Andrea +2 more
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Inequalities of Ostrowski Type
2011Ostrowski’s type inequalities provide sharp error estimates in approximating the value of a function by its integral mean. They can be utilized to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums.
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On Multivariate Ostrowski Type Inequalities
2011In this paper several multivariate Ostrowski integral inequalities are established. These generalize some existing results of Pachpatte and provide new estimates to inequalities of this type.
Zhao, CJ, Cheung, WS
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PROBABILISTIC OSTROWSKI TYPE INEQUALITIES
Stochastic Analysis and Applications, 2002New very general univariate and multivariate probabilistic Ostrowski type inequalities are established, involving ‖·‖∞ and ‖·‖ p , p≥1 norms of probability density functions. Some of these inequalities provide pointwise estimates to the error of probability distribution function from the expectation of some simple function of the engaged random ...
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Multidimensional Ostrowski-type Inequalities
2012The Ostrowski inequality (7) has been generalized over the last years in a number of ways. The first multidimensional version of the Ostrowski’s inequality was given by G.V. Milovanovi´c in [76] (see also [80, p. 468]). Recently a number of authors have written about multidimensional generalizations, extensions and variants of the Ostrowski’s ...
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Ostrowski Type Inequalities for Semigroups
2015Here we present Ostrowski type inequalities on Semigroups for various norms. We apply our results to the classical diffusion equation and its solution, the Gauss-Weierstrass singular integral. It follows [3].
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Some new inequalities of Ostrowski type
2003The author establishes several Ostrowski type inequalities by assuming some special properties of the derivative of the function \(f\) around a given point \(x \in (a,b).\) In addition, several consequences of the results obtained are given. For completeness, we state one of the remarkable inequalities established in the paper.
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An inequality of Ostrowski's type for cumulative distribution functions
1998The main result of the paper is the following Ostrowski type inequality. Let \(X\) be a random variable taking values in the finite interval \([a,b]\), with expectation \(E(X)\). Then we have the inequality \[ \biggl |\Pr (X\leq x)-\frac{b-E(X)}{b-a}\biggr|\leq \frac{1}{2}+\frac{|x-\frac{a+b}{2}|}{b-a} \] for all \(x\in [a,b]\).
Barnett, Neil S, Dragomir, Sever S
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