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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 Multidimensional Ostrowski-Type Inequalities

Ukrainian Mathematical Journal, 2020
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Multivariate Ostrowski Type Inequalities

Acta Mathematica Hungarica, 1997
The 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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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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Some Weighted Ostrowski Type Inequalities

Vietnam Journal of Mathematics, 2013
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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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