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Lebesgue constant for Lagrange interpolation on equidistant nodes

✍ Scribed by A. Eisinberg; G. Fedele; G. Franzè


Publisher
Springer
Year
2004
Tongue
English
Weight
368 KB
Volume
20
Category
Article
ISSN
1573-8175

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Strong asymptotics in Lagrange interpola
✍ Michael I. Ganzburg 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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