(0, 1) Pál-type Interpolation: A General Method for Regularity
Hermite-Birkhoff interpolation and Pál-type interpolation have been receiving much attention over the years. Also during the previous 15 year the subject of interpolation in non-uniformly distributed nodes has been looked into.
The methods of proof of regularity often were quite dependent on the problem at hand, and the purpose of this note is to treat a possible ‘general’ method of finding polynomial pairs that lead to a regular interpolation problem; for sake of simplicity so-called (0, 1) Pál-type interpolation is looked into.
KeywordsPál-type interpolation regularity AMS Subject classification 41A05
Unable to display preview. Download preview PDF.
- G.G. Lorentz, S.D. Riemenschneider and K. Jetter, Birkhoff Interpolation, Addison Wesley Pub. Co., Mass. USA, 1983.Google Scholar
- Marcel G. de Bruin, Incomplete Pál-type interpolation, submitted.Google Scholar
- Marcel G. de Bruin and Detlef H. Mache, (0, 2) Pál-type interpolation: A General Method for regularity, preprint.Google Scholar