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A complete description of the Lebesgue functions for classical lagrange interpolation polynomials

✍ Scribed by I. A. Shakirov

Book ID
111503637
Publisher
Allerton Press, Inc.
Year
2011
Tongue
English
Weight
446 KB
Volume
55
Category
Article
ISSN
1066-369X

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πŸ“œ SIMILAR VOLUMES

The Lebesgue Function and Lebesgue Const
The Lebesgue Function and Lebesgue Constant of Lagrange Interpolation for Erdoős Weights
✍ S.B. Damelin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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 Γ„ R is even and is of faster than polynomial growth at infinity. The archetypal examples are where Q