| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4607131 | Journal of Approximation Theory | 2014 | 5 Pages |
Abstract
Denote by Tn(.,w) the nth degree Chebyshev polynomial with respect to the positive weight w. It is shown in this note that if w is C1+ then Tn(cosÏ,w)=â{eâinÏÏ2(eiÏ)}+o(1) where Ï(z) stands for the SzegÅ function corresponding to w. This extends an earlier result proved by Kroó and Peherstorfer who verified this asymptotic relation for C2+α,α>0 weights.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
András Kroó,