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.
Cite this article
H.-J. Fischer, On the Condition of Orthogonal Polynomials via Modified Moments. Z. Anal. Anwend. 15 (1996), no. 1, pp. 223–244DOI 10.4171/ZAA/696