In this paper, a probabilistic version of the Ostrowski inequality is shown. Applications of the probabilistic version are also given.
A multidimensional version of the Carlson inequality
โ Scribed by J.I. Bertolo; D.L. Fernandez
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 199 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove a version of Hardy's type inequality in a domain W โฆ 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.
In this work, we present a new sharpened version of the classical Neuberg-Pedoe inequality. As an application, the following improved Neuberg-Pedoe inequality is derived: 2 .
Let A be an n ร n positive definite symmetric real matrix with n eigenvalues ฮป 1 , ฮป 2 , . . . , ฮป n and let x and y be two n ร 1 vectors with the angle ฯ. This paper proves the following inequality (x T Ax)(y T Ay).