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The covering number for some Mercer kernel Hilbert spaces
- Source :
- Journal of Complexity. 24:241-258
- Publication Year :
- 2008
- Publisher :
- Elsevier BV, 2008.
-
Abstract
- In the present paper, we investigate the estimates for the covering number of a ball in a Mercer kernel Hilbert space on [0,1]. Let P"l(x) be the Legendre orthogonal polynomial of order l, a"l>0 be real numbers satisfying @?"l"="0^+^~la"l
- Subjects :
- Statistics and Probability
Discrete mathematics
Numerical Analysis
Control and Optimization
Algebra and Number Theory
Applied Mathematics
General Mathematics
Hilbert space
Inverse
Covering number
Mathematics::Spectral Theory
Mercer kernel Hilbert spaces
Combinatorics
symbols.namesake
Orthogonal polynomials
Legendre polynomials
symbols
Ball (mathematics)
Real number
Mathematics
Reproducing kernel Hilbert space
Subjects
Details
- ISSN :
- 0885064X
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Journal of Complexity
- Accession number :
- edsair.doi.dedup.....d5910458b3c93bdbf52ac42755264028