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The divergence of Lagrange interpolation in equidistant nodes

✍ Scribed by Lu Zhikang; Xia Mao

Publisher
Springer
Year
2003
Tongue
English
Weight
175 KB
Volume
19
Category
Article
ISSN
1573-8175

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πŸ“œ SIMILAR VOLUMES

Strong asymptotics in Lagrange interpola
Strong asymptotics in Lagrange interpolation with equidistant nodes
✍ Michael I. Ganzburg πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 200 KB

In this paper we prove three conjectures of Revers on Lagrange interpolation for f l ðtÞ ¼ jtj l ; l40; at equidistant nodes. In particular, we describe the rate of divergence of the Lagrange interpolants L N ð f l ; tÞ for 0ojtjo1; and discuss their convergence at t ¼ 0: We also establish an asympt