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On the divergence of Lagrange interpolation processes on a set of second category

✍ Scribed by А. А. Привалов


Book ID
112711855
Publisher
Springer
Year
1987
Tongue
English
Weight
568 KB
Volume
13
Category
Article
ISSN
0133-3852

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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