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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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Weighted Ostrowski, Ostrowski-Gruss and Ostrowski--Cebysev type inequalities on time scales

Publicationes Mathematicae Debrecen, 2012
Recently several authors have extended various classical inequalities to inequalities on time scales, an important concept due to Hilger that enables discrete and continuous results to be proved simultaneously, see in particular \textit{R. Agarwal, M. Bohner and A. Peterson} [Math. Inequal. Appl. 4, 535--557 (2001; Zbl 1021.34005)], \textit{M.
Tuna, Adnan, Jiang, Yong, Liu, Wenjun
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Some Weighted Ostrowski Type Inequalities

Vietnam Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Ostrowski and Ostrowski-Grüss type inequalities

Rendiconti del Circolo Matematico di Palermo Series 2
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghulam Farid   +5 more
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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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Weighted Čebyšev-Ostrowski type inequalities

Applied Mathematics and Mechanics, 2007
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Rafiq, Arif   +2 more
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Ostrowski-type Inequalities

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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PROBABILISTIC OSTROWSKI TYPE INEQUALITIES

Stochastic Analysis and Applications, 2002
New 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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On Some Ostrowski Type Integral Inequalities

Sarajevo Journal of Mathematics
In 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

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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