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Some new inequalities of Ostrowski type

2003
The author establishes several Ostrowski type inequalities by assuming some special properties of the derivative of the function \(f\) around a given point \(x \in (a,b).\) In addition, several consequences of the results obtained are given. For completeness, we state one of the remarkable inequalities established in the paper.
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Multidimensional Ostrowski-type Inequalities

2012
The Ostrowski inequality (7) has been generalized over the last years in a number of ways. The first multidimensional version of the Ostrowski’s inequality was given by G.V. Milovanovi´c in [76] (see also [80, p. 468]). Recently a number of authors have written about multidimensional generalizations, extensions and variants of the Ostrowski’s ...
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Ostrowski Type Inequalities for Semigroups

2015
Here we present Ostrowski type inequalities on Semigroups for various norms. We apply our results to the classical diffusion equation and its solution, the Gauss-Weierstrass singular integral. It follows [3].
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Quantum Ostrowski‐type integral inequalities for functions of two variables

Mathematical Methods in the Applied Sciences, 2021
Huseyin Budak   +2 more
exaly  

Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications

Computers and Mathematics With Applications, 2008
Kuei-Lin Tseng   +1 more
exaly  

On the generalization of Ostrowski and Grüss type discrete inequalities

Computers and Mathematics With Applications, 2011
Erhan Set
exaly  

Diamond- α weighted Ostrowski type and Grüss type inequalities on time scales

Applied Mathematics and Computation, 2015
Wenjun Liu, Adnan Tuna
exaly  

Exponential Pompeiu's type inequalities with applications to Ostrowski's inequality

2015
In [Mathematica, Timisoara 22, 143--146 (1946; Zbl 0060.14601)], \textit{D. Pompeiu} derived a variant of Lagrange's mean value theorem, known as Pompeiu's mean value theorem. Its consequence is the Pompeiu inequality. In this paper, some Pompeiu-type inequalities for complex-valued absolutely continuous functions with exponential instead of identity ...
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