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Polynomials orthogonal on a circular arc

✍ Scribed by Marcel G. De Bruin

Book ID
118410210
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
597 KB
Volume
31
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES

On polynomials orthogonal on a circular
On polynomials orthogonal on a circular arc
✍ Gradimir V. MilovanoviΔ‡; Predrag M. RajkoviΔ‡ πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 712 KB
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.

Akhiezer's Orthogonal Polynomials and Be
Akhiezer's Orthogonal Polynomials and Bernstein–Szegő Method for a Circular Arc
✍ Leonid Golinskii πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 437 KB

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