"Orthogonal projectors onto spaces of periodic splines"
, in J. Complexity, Nummer 42, Seite(n) 85-93, 2017
Orthogonal projectors onto spaces of periodic splines
Sprache des Titels:
The main result of this paper is a proof that for any integrable function f on the torus, any sequence of its orthogonal projections
(\tilde P_n f)onto periodic spline spaces with arbitrary knots
\Tilde ?_n and arbitrary polynomial degree converges to f almost everywhere with respect to the Lebesgue measure, provided the mesh diameter ?\Tilde ?_n? tends to zero. We also give a new and simpler proof of the fact that the operators P?nare bounded on L^? independently of the knots \tilde ?_n.