The Gauß (or Weierstraß) transform has applications in many fields of applied mathematics. One of its most important properties within approximation theory is the fact that it maps weak Chebychev spaces onto Chebychev spaces. The aim of this paper is twofold. First, after proving some elementary invariance properties of the Gauß transform, necessary and sufficient conditions for best approximation by (Gauß transformed) free knot spline spaces are given. Then, in Section 3, we develop a method for the numerical solution of an initial value problem for the heat equation. The present paper can be viewed as a continuation of two recent publications by Meinardus [5,6].
Zusätzliche Informationen:
Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.
![[img]](https://madoc.bib.uni-mannheim.de/style/images/fileicons/application_pdf.png)
Suche Autoren in