Results 131 to 140 of about 231 (164)

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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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 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, Hoxha, Razim, Pečarić, Josip   +2 more
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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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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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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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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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Some Weighted Ostrowski Type Inequalities

Vietnam Journal of Mathematics, 2013
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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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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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