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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, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multivariate Ostrowski Type Inequalities
Acta Mathematica Hungarica, 1997The 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Ostrowski–Grüss-type Inequalities
Results in Mathematics, 2012In this paper several inequalities of the following type are proved. Let \( c\geq 0\) and \(u_{c}(x):=c\left( x-\frac{a+b}{2}\right) .\) Then \[ \left| f(x)-\frac{1}{b-a}\int_{a}^{b}f(t)dt-\frac{f(b)-f(a)}{b-a} u_{c}(x)\right| \leq \left( 1+c\right) \widetilde{\omega }\left( f;\frac{ (x-a)^{2}+(b-x)^{2}}{2(b-a)}\right) \] for all \(f\in C[a,b]\) and ...
Gonska, Heiner +2 more
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On an inequality of Ostrowski type
Journal of inequalities in pure and applied mathematics, 2006We prove an inequality of Ostrowski type for p-norm, generalizing a result of Dragomir.
Pečarić, Josip E., Ungar, Sime
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Weighted Ostrowski, Ostrowski-Gruss and Ostrowski--Cebysev type inequalities on time scales
Publicationes Mathematicae Debrecen, 2012Recently 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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Generalized Ostrowski and Ostrowski-Grüss type inequalities
Rendiconti del Circolo Matematico di Palermo Series 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghulam Farid +5 more
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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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