𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Divergence of Lagrange Interpolation for |x|α at Equidistant Nodes

✍ Scribed by Michael Revers


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
136 KB
Volume
103
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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

The Lebesgue Function and Lebesgue Const
✍ S.B. Damelin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 399 KB

We establish pointwise as well as uniform estimates for Lebesgue functions associated with a large class of Erdo s weights on the real line. An Erdo s weight is of the form W :=exp(&Q), where Q : R Ä R is even and is of faster than polynomial growth at infinity. The archetypal examples are where Q