Bounds for the Christoffel-Darboux kernel of the binary Krawtchouk polynomials (Q2717205)
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scientific article; zbMATH DE number 1604782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds for the Christoffel-Darboux kernel of the binary Krawtchouk polynomials |
scientific article; zbMATH DE number 1604782 |
Statements
9 November 2001
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Christoffel-Darboux kernel
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binary Krawtchouk polynomials
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Bounds for the Christoffel-Darboux kernel of the binary Krawtchouk polynomials (English)
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In this paper, the binary Krawtchouk polynomials, given by the three-term recurrence equation NEWLINE\[NEWLINE (k+1) K_{k+1}(x)=(n-2x)K_k(x)-(n-k+1)K_{k-1}(x) , NEWLINE\]NEWLINE are considered. The author gives a lower bound for the limiting case of the Christoffel-Darboux kernel NEWLINE\[NEWLINE W_k(x)=K_{k+1}(x) K'_k(x)-K_k(x) K'_{k+1}(x). .NEWLINE\]NEWLINENEWLINENEWLINEFor the entire collection see [Zbl 0960.00079].
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