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Approximation numbe...
Approximation numbers = singular values
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- Bennewitz, Christer (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- Elsevier BV, 2007
- 2007
- Engelska.
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Ingår i: Journal of Computational and Applied Mathematics. - : Elsevier BV. - 0377-0427. ; 208:1, s. 102-110
- Relaterad länk:
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http://dx.doi.org/10...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- This paper introduces a generalisation of the notion of singular value for Hilbert space operators to more general Banach spaces. It is shown that for a simple integral operator of Hardy type the singular values are the eigenvalues of a non-linear Sturm-Liouville equation and coincide with the approximation numbers of the operator. Finally, asymptotic formulas for the singular numbers are deduced. (c) 2006 Published by Elsevier B.V.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Pruefer transform
- eigenvalue
- generalised trigonometric function
- asymptotics
- Bernstein width
- Sturm-Liouville
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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