Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points
EXPERIMENTAL MATHEMATICS, cilt.25, ss.347-354, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25
- Basım Tarihi: 2016
- Doi Numarası: 10.1080/10586458.2015.1072862
- Dergi Adı: EXPERIMENTAL MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.347-354
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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