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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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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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Converses of the Fischer inequality and an inequality of A. Ostrowski
Linear and Multilinear Algebra, 1976This paper contains an extension of an inequality of A. Ostrowski and exhibits the relationship of the inequality to various converses of the classical generalization by E. Fischer of the Hadamard determinant theorem.
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A note on Ostrowski like inequalities
2005The author has proved some new Ostrowski like inequalities using basic mathematical analysis. The results are of particular interest for ``class room material'' to be taught to students.
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Remarks on Ostrowski’s Inequality
1978We consider the inequality $$ \left( {\begin{array}{*{20}{c}} n \\ k \end{array}} \right){p^k}{\left( {1 - p} \right)^{n - k}} \leqslant \exp \left[ { - 2n{{\left( {p - \bar p} \right)}^2}} \right],\quad where\;\bar p = \frac{k}{n},\quad $$ (1) , for p ∈ (0,1).
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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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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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2010
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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Generalized Ostrowski's inequality on time scales
2008The classical Ostrowski's inequality as well as Montgomery's identity were recently generalized to time scales, i.e., nonempty closed subsets of the real line. The authors present further generalizations involving Peano kernel-like functions.
Karpuz, Başak, Özkan, Umut Mutlu
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