Polynomial operators and local smoothness classes on the unit interval, II

Details Polynomial operators and local smoothness classes on the unit interval, II Polynomial operators and local smoothness classes on the unit interval, II

2008-11-16

arxiv.org/abs/0811.2594v1

Mathematics

Classical Analysis and ODEs

16 pages, Accepted for publication in Jaen J. Approximation Theory

Scientific paper

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.

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