Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773828 | Journal of Complexity | 2017 | 9 Pages |
Abstract
The main result of this paper is a proof that for any integrable function f on the torus, any sequence of its orthogonal projections (PËnf) onto periodic spline spaces with arbitrary knots ÎËn and arbitrary polynomial degree converges to f almost everywhere with respect to the Lebesgue measure, provided the mesh diameter â£ÎËn⣠tends to zero. We also give a new and simpler proof of the fact that the operators PËn are bounded on Lâ independently of the knots ÎËn.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Markus Passenbrunner,