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On Multivariate Ostrowski Type Inequalities

2011
In 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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Inequalities of Ostrowski Type

2011
Ostrowski’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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Multidimensional Ostrowski-type Inequalities

2012
The 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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Grüss and Ostrowski type inequalities

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ostrowski Type Inequalities for Semigroups

2015
Here 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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Canavati Fractional Ostrowski–Type Inequalities

2009
Here we present Ostrowski type inequalities involving left and right Canavati type generalised fractional derivatives. Combining these we obtain fractional Ostrowski type inequalities of mixed form. Then we establish Ostrowski type inequalities for ordinary and fractional derivatives involving complex valued functions de…ned on the unit circle.
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Some new inequalities of Ostrowski type

2003
The 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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Improvements of some Ostrowski type inequalities

Journal of computational analysis and applications, 2005
A connection between generalized Montgomery identity, Bernoulli polynomials and Euler identity is esablished. Using this connection, certain strict improvements of some Ostrowski type inequalities are obtained.
Pečarić, Josip   +2 more
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Ostrowski Type Inequalities Involving Sublinear Integrals

2019
The topic here is estimation of a function from its average. This is done by the Ostrowski type inequalities. Here we define a very general sublinear integral which generalizes the well-known Choquet and Shilkret integrals. Then we produce a series of Ostrowski type inequalities at all levels: univariate, multivariate, and fractional, acting to all ...
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Some general Ostrowski type inequalities

2014
Summary: A new general Ostrowski type inequality for functions whose \((n - 1)\)th derivatives are continuous functions of bounded variation is established. Some special cases are discussed.
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