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The divergence of Lagrange interpolation for ¦x¦α

✍ Scribed by Zhikang Lu; Xifang Ge


Publisher
Springer
Year
2005
Tongue
English
Weight
332 KB
Volume
21
Category
Article
ISSN
1573-8175

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On the Divergence of Lagrange Interpolat
✍ L. Brutman; E. Passow 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 227 KB

It is a classical result of Bernstein that the sequence of Lagrange interpolation polynomials to \(|x|\) at equally spaced nodes in \([-1,1]\) diverges everywhere, except at zero and the end-points. In the present paper we show that the case of equally spaced nodes is not an exceptional one in this