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On the Ostrowski type integral inequality [PDF]

, 2010
Motivated by Ostrowski's inequality and some related investigations, the author presents an inequality for functions \(f:[a,b]\times [c,d]\to \mathbb R\) fulfilling further regularity properties.
Sarikaya, M. Z.
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On Multidimensional Ostrowski-Type Inequalities

Ukrainian Mathematical Journal, 2020
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Multivariate Ostrowski Type Inequalities

Acta Mathematica Hungarica, 1997
The distance between the value \(f(x_{1},\cdots,x_{k})\) of a function \(f \in C^{1}(\prod^{k}_{i=1}[a_{i},b_{i}])\) and its integral mean can be estimated by the formula \[ \begin{gathered} \left| \frac{1}{\Pi^{k}_{i=1}(b_{i}-a_{i})} \int^{b_{1}}_{a_{1}}\int^{b_{2}}_{a_{2}} \cdots \int^{b_{k}}_{a_{k}} f(z_{1},\dots,z_{k})dz_{1}\ldots dz_{k} - f(x_{1},\
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Grüss and Ostrowski type inequalities

Applied Mathematics and Computation, 2011
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On an inequality of Ostrowski type

Journal of inequalities in pure and applied mathematics, 2006
We prove an inequality of Ostrowski type for p-norm, generalizing a result of Dragomir.
Pečarić, Josip E., Ungar, Sime
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A general Ostrowski-type inequality

Statistics & Probability Letters, 2005
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de la Cal, J., Cárcamo, J.
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