×

On a theorem which limits the number of mixed interpolated derivatives for some plane regular uniform rectangular Birkhoff interpolation schemes. (English) Zbl 1091.41002

Summary: As the title suggest, on this paper we will establish a theorem which limit the number of choices of interpolated mixed derivatives (so also of interpolation derivatives) in order to obtain uniform rectangular Birkhoff interpolation schemes, and which makes possible their regularity.
In the first part of the paper we present specific notions that can be studied in more detail by consulting the bibliography. These concepts are mentioned here because they are the basic support for the theorem. The final remarks refer to certain limit situations which follow from this theorem.

MSC:

41A05 Interpolation in approximation theory
PDFBibTeX XMLCite
Full Text: EuDML