Results 121 to 130 of about 163 (133)
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Refinement of Hölder inequality and application to Ostrowski inequality
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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On the Ostrowski type integral inequality
2010Motivated 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.
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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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