Journal article
Chopped Orthogonal Polynomial Expansions--Some Discrete Cases
SIAM journal on matrix analysis and applications, v 4(1)
01 Mar 1983
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Abstract
We study expansions of functions $f ( x )$ in terms of certain discrete families of orthogonal polynomials, $\{ p_i ( x ) \}$ where $x = 0,1, \cdots ,N,N$ finite or infinite. We assume $f$ is known for $x\leqq M( M < N )$ and that the expansion in terms of the $p_i $'s is chopped after $L$ terms $( L < N )$. This results in the need to study the eigenstructure of a certain "integral-type" operator. This eigenstructure is determined by producing a commuting second order difference operator.
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Details
- Title
- Chopped Orthogonal Polynomial Expansions--Some Discrete Cases
- Creators
- Marci Perlstadt
- Publication Details
- SIAM journal on matrix analysis and applications, v 4(1)
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1983QF34100012
- Other Identifier
- 991019184074404721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied