A probabilistic version of Ostrowski inequality
β Scribed by Mingjin Wang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 203 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
In this paper, a probabilistic version of the Ostrowski inequality is shown. Applications of the probabilistic version are also given.
π SIMILAR VOLUMES
We prove a version of Hardy's type inequality in a domain W β¦ R n which involves the distance to the boundary and the volume of W. In particular, we obtain a result which gives a positive answer to a question asked by H. Brezis and M. Marcus.
sharp inequalities are derived. The first is a sharp Simpson's inequality and the second is a sharp inequality of Ostrowski type. The mentioned inequalities give error bounds for some known quadrature rules. These results enlarge applicability of the corresponding quadrature rules with respect to th