Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when | f | is convex is explored. Applications for the mid-point rule and a generalised trapezoid type rule are also presented.
The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables
β Scribed by P. Kumar
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 535 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
We estabhsh Ostrowskl type integral mequahtms revolving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we dmcuss apphcations of these bounds to the Euler's beta mappings and illustrate their behaviour (~) 2005 Elsevmr Ltd. All rights reserved
π SIMILAR VOLUMES
Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lipschitzian integrators for both HΓΆlder continuous and monotonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.
## Some new bounds for the first inequality of Ostrowsld-Griiss type are derived. These new bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
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