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Recurrence Coefficients for Bernstein-Szegö Type Polynomials by Michael-Ralf Skrzipek is a Mathematics article available to read on EtoBox.

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Let {Pn}n€N0 and be sequences of polynomials which are orthogonal with respect to a measure du resp. Φ du, where Φ is a rational function and nonnegative on the support of ω. If the recurrence coefficients of {Pjt}teiM0 and the Fourier expansion of P(\*> or ΦmPW in terms of the are known, where is the numerator of Φ, we show how the recurrence coefficients of Ρcan be calculated. These results can be used for nonrational Φ if it has an uniformly convergent expansion in terms of the {Pk}ken<>• AMS (MOS) classification: 33A65, 39B10 (1-1)

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Author

Michael-Ralf Skrzipek

Publisher

Walter de Gruyter GmbH

Published

1993

Language

DE

Field

Mathematics (Physical Sciences)