𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Divergence of Lagrange interpolation on a set of second category

✍ Scribed by P. Vértesi


Book ID
105409967
Publisher
Akadmiai Kiad
Year
1984
Tongue
English
Weight
633 KB
Volume
43
Category
Article
ISSN
1588-2632

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

Notes on Steklov's Conjecture inLpand on
✍ Paul Nevai; Ying Guang Shi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 248 KB

Given a compact interval 2, it is shown that for E. A. Rakhmanov's weight w on 2 which is bounded from below by the Chebyshev weight v on 2 (1982, Math. USSR Sb. 42, 263) the corresponding orthonormal polynomials are unbounded in every L p v (and L p w ) with p>2 and also that the Lagrange interpola