Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points


İbrahimoğlu B. A. , Cuyt A.

EXPERIMENTAL MATHEMATICS, cilt.25, ss.347-354, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/10586458.2015.1072862
  • Dergi Adı: EXPERIMENTAL MATHEMATICS
  • Sayfa Sayıları: ss.347-354

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