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Zeitschrift für Analysis und ihre Anwendungen

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Volume 15, Issue 1, 1996, pp. 223–244
DOI: 10.4171/ZAA/696

Published online: 1996-03-31

On the Condition of Orthogonal Polynomials via Modified Moments

H.-J. Fischer[1]

(1) Technische Universität Chemnitz, Germany

We consider the condition of orthogonal polynomials, encoded by the coefficients of their three-term recurrence relation, if the measure is given by modified moments (i.e. integrals of certain polynomials forming a basis). The results concerning various polynomial bases are illustrated by simple examples of generating (possibly shifted) Chebyshev polynomials of first and second kind.

Keywords: Orthogonal polynomials, recurrence relations, modified moments, polynomial bases

Fischer H.-J.: On the Condition of Orthogonal Polynomials via Modified Moments. Z. Anal. Anwend. 15 (1996), 223-244. doi: 10.4171/ZAA/696