Polynomial operators and local smoothness classes on the unit interval, II
Classical Analysis and ODEs
2008-11-18 v1 Numerical Analysis
Abstract
We prove the existence of quadrature formulas exact for integrating high degree polynomials with respect to Jacobi weights based on scattered data on the unit interval. We also obtain a characterization of local Besov spaces using the coefficients of a tight frame expansion.
Cite
@article{arxiv.0811.2594,
title = {Polynomial operators and local smoothness classes on the unit interval, II},
author = {H. N. Mhaskar},
journal= {arXiv preprint arXiv:0811.2594},
year = {2008}
}
Comments
16 pages, Accepted for publication in Jaen J. Approximation Theory