On Lagrange interpolation to |x|α(1
✍ Scribed by Xia Mao
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 224 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1573-8175
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📜 SIMILAR VOLUMES
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
We estimate the distribution function of a Lagrange interpolation polynomial and deduce mean boundedness in L p , p<1. 1999 Academic Press ## 1. THE RESULT There is a vast literature on mean convergence of Lagrange interpolation, see [4 8] for recent references. In this note, we use distribution