Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (4)
- Authors
- Branishti, Vladislav V.
- Contact information
- Branishti, Vladislav V.: Institute of Computer Science and Telecommunications Reshetnev Siberian State Aerospace University Krasnoyarskiy rabochiy, 31, Krasnoyarsk, 660014 Russia;
- Keywords
- integrable function spaces; Hilbert spaces; weighted function spaces; second order splines; probability density function estimating
- Abstract
We describe the weighted Hilbert spaces L2;w(Ω) with positive weight functions w(x) which are summable on every bounded interval. We give sufficient condition for L2;w1(Ω) space to be extension of L2;w2(Ω) space. We also describe how to use given result in statistical probability density estimation
- Pages
- 410–421
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/34750
Journal of Siberian Federal University. Mathematics & Physics / On some Properties of Weighted Hilbert Spaces
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