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On Christoffel Type Functions for Lm Extremal Polynomials, II

✍ Scribed by Ying Guang Shi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
161 KB
Volume
111
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

On Christoffel Type Functions for Lm Ext
On Christoffel Type Functions for Lm Extremal Polynomials, I
✍ Ying Guang Shi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 129 KB

The Christoffel functions for orthogonal polynomials are extended to the case of L m extremal polynomials with an even integer m and their properties are given.

The Christoffel Function for Orthogonal
The Christoffel Function for Orthogonal Polynomials on a Circular Arc
✍ Leonid Golinskii πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 103 KB

For the special type of weight functions on circular arc we study the asymptotic behavior of the Christoffel kernel off the arc and of the Christoffel function inside the arc. We prove Totik's conjecture for the Christoffel function corresponding to such weight functions.