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Chebyshev-Grüss- and Ostrowski-type Inequalities

open access: yes, 2014
Mein Promotionsvorhaben "Chebyshev-Grüss- and Ostrowski-type Inequalities" befasst sich mit Chebyshev-Grüss- und Ostrowski-Typ-Ungleichungen im univariaten und bivariaten Fall. Derartige Ungleichungen haben in den letzten Jahren, auch aufgrund ihrer Anwendungen, viel Aufmerksamkeit auf sich gezogen.
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On Ostrowski inequality for quantum calculus

Applied Mathematics and Computation, 2021
We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We also derive a midpoint inequality.
Andrea Aglic Aljinovic   +3 more
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A GENERALIZATION OF THE OSTROWSKI–GRUSS INEQUALITY

Analysis and Applications, 2014
A new generalization of the Ostrowski–Gruss inequality is introduced in three different cases for functions in L1[a, b] and L∞[a, b] spaces and its application is given for deriving error bounds of some quadrature rules.
Masjed-Jamei, Mohammad   +1 more
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On Multidimensional Ostrowski-Type Inequalities

Ukrainian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Remarks on Ostrowski-like inequalities

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Grüss and Ostrowski type inequalities

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two-Point Ostrowski’s Inequality

Results in Mathematics, 2017
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