On the condition of orthogonal polynomials via modified moments (Q1909651)
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scientific article; zbMATH DE number 856814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the condition of orthogonal polynomials via modified moments |
scientific article; zbMATH DE number 856814 |
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On the condition of orthogonal polynomials via modified moments (English)
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12 June 1996
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Summary: 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.
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orthogonal polynomials
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three-term recurrence relation
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polynomial bases
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