Orthogonal polynomials theory on a circular arc was apparently first developed by N. I. Akhiezer, who announced his asymptotic formulas for orthogonal polynomials on and off the support of orthogonality measure in a short note in Doklady AN SSSR. We present here a rigorous exposition of Akhiezer's r
β¦ LIBER β¦
The Christoffel Function for Orthogonal Polynomials on a Circular Arc
β Scribed by Leonid Golinskii
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 103 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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