Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1996-03-31
On the Condition of Orthogonal Polynomials via Modified MomentsH.-J. Fischer (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