Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points
EXPERIMENTAL MATHEMATICS, vol.25, pp.347-354, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25
- Publication Date: 2016
- Doi Number: 10.1080/10586458.2015.1072862
- Journal Name: EXPERIMENTAL MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.347-354
- Yıldız Technical University Affiliated: Yes
Abstract
A rough analysis of the growth of the Lebesgue constant in the case of barycentric rational interpolation at equidistant interpolation points was made in [Bos et al. 11] and [Bos et al. 12], leading to the conclusion that it only grows logarithmically. Herewe give a fine analysis, obtaining the precise growth formula