Results 71 to 80 of about 92 (88)

Univariate Ostrowski Inequalities, Revisited

Monatshefte f?r Mathematik, 2002
The author proves several new identities of Montgomery-type (such an identity was used by Montgomery in multiplicative number theory); then certain general Ostrowski type inequalities, involving \(L_p\) (\(p\geq 1\), or \(p=\infty\)) are deduced. There are too many results (17 theorems and a couple of consequences), and too complicated to be stated ...
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Generalizations of the Ostrowski’s inequality

Journal of Interdisciplinary Mathematics, 2006
Using the Taylor-Langrange formula as well as a generalization of this one, we give some generalizations of the integral midpoint inequality as well of the Ostrowski inequality for n -time differentiable mappings. A new sharp generalized weighted Ostrowski type inequality is given.
K. S. Anastasiou, Aristides I. Kechriniotis, B.A. Kotsos   +2 more
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On the weighted Ostrowski inequality

2007
Summary: By utilising an identity of \textit{K. Boukerrioua} and {A. Guezane-Lakoud} [JIPAM, J. Inequal. Pure Appl. Math. 8, No. 2, Paper No. 55, 4 p., electronic only (2007; Zbl 1232.26024)], some weighted Ostrowski type inequalities are established.
Barnett, Neil S, Dragomir, Sever S
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Generalized Ostrowski and Ostrowski-Grüss type inequalities

Rendiconti del Circolo Matematico di Palermo Series 2
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Ghulam Farid, Sajid Mehmood, Bakri A. Younis, Huda Uones Mohamed Ahamd, Ria H. Egami, Ahmed M. Ibrahim Adam   +5 more
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Refinement of Hölder inequality and application to Ostrowski inequality

Applied Mathematics and Computation, 2003
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Generalized Ostrowski–Grüss-type Inequalities

Results in Mathematics, 2012
In 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, Rasa, Ioan, Rusu, Maria-Daniela   +2 more
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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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On the Ostrowski type integral inequality

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.
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Remarks on Ostrowski’s Inequality

1978
We 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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Converses of the Fischer inequality and an inequality of A. Ostrowski

Linear and Multilinear Algebra, 1976
This 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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