Orthogonal polynomial Schauder bases in C[-1,1] with optimal growth of degrees

Authors
Skopina, MA
Citation
Ma. Skopina, Orthogonal polynomial Schauder bases in C[-1,1] with optimal growth of degrees, SB MATH, 192(3-4), 2001, pp. 433-454
Citations number
13
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
192
Issue
3-4
Year of publication
2001
Pages
433 - 454
Database
ISI
SICI code
1064-5616(200103/04)192:3-4<433:OPSBIC>2.0.ZU;2-X
Abstract
For each epsilon > 0 an orthogonal Schauder basis of algebraic polynomials P-n in C[-1, 1] is constructed such that the degrees of the polynomials hav e the estimate n(1 + epsilon). This growth rate is the lowest possible.