𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of certain polynomial interpolants to a function defined on the unit circle

✍ Scribed by A. S. Cavaretta; H. P. Dikshit; A. Sharma

Publisher
Akadmiai Kiad
Year
1989
Tongue
English
Weight
213 KB
Volume
53
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the convergence of rational functions
On the convergence of rational functions orthogonal on the unit circle
✍ K. Pan πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 353 KB

Rational functions orthogonal on the unit circle with prescribed poles are studied. We establish some convergence theorems for the orthogonal rational functions. We generalize some of the results for Szeg6 polynomials to rational orthogonal functions.

A family of Sobolev orthogonal polynomia
A family of Sobolev orthogonal polynomials on the unit circle
✍ E. Berriochoa; A. Cachafeiro πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 108 KB

The aim of this paper is to study the polynomials orthogonal with respect to the following Sobolev inner product: where is the normalized Lebesgue measure and is a rational modiΓΏcation of . In this situation we analyse the algebraic results and the asymptotic behaviour of such orthogonal polynomial