Orthogonal Polynomials Associated with Related Measures and Sobolev Orthogonal Polynomials

Orthogonal Polynomials Associated with Related Measures and Sobolev Orthogonal Polynomials

Connection between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), are looked at. The results are applied to obtain information regarding Sobolev orthogonal polynomials associated with certain...

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Veröffentlicht in:Numerical algorithms 2003-12, Vol.34 (2-4), p.203-216
Hauptverfasser: Berti, A.C., Bracciali, C.F., Sri Ranga, A.
Format: Artikel
Sprache:eng
Schlagworte:
Multiplication
Polynomials
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Zusammenfassung:Connection between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), are looked at. The results are applied to obtain information regarding Sobolev orthogonal polynomials associated with certain pairs of measures.
ISSN:1017-1398
1572-9265
DOI:10.1023/B:NUMA.0000005363.32764.d3