A survey of weighted approximation for exponential weights

DS Lubinsky - arXiv preprint math/0701099, 2007 - arxiv.org
Let W: R to (0, 1] be continuous. Bernstein's approximation problem, posed in 1924, deals
with approximation by polynomials in the weighted uniform norm|| fW|| Linfinity (R). The …

Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert transforms

SB Damelin - Advances in Computational Mathematics, 2007 - Springer
We study pointwise bounds of orthogonal expansions on the real line for a class of
exponential weights of smooth polynomial decay at infinity. As a consequence of our main …

[PDF][PDF] On convergence of orthonormal expansions for exponential weights

HP Mashele - Electronic Transactions on Numerical Analysis, 2006 - gwdg.de
Let¢¤£¦¥ § ©© be a real interval, finite or infinite, and let¢¤!¥#" $ &%'. Assume that)(is a
weight, so that we may define orthonormal polynomials corresponding to 0 (. For 12 3¢ 465 …