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On the Lebesgue Function of Weighted Lagrange Interpolation. I. (Freud-Type Weights)

✍ Scribed by P. Vértesi

Publisher
Springer
Year
1999
Tongue
English
Weight
97 KB
Volume
15
Category
Article
ISSN
0176-4276

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The Lebesgue Function and Lebesgue Const
The Lebesgue Function and Lebesgue Constant of Lagrange Interpolation for Erdoős Weights
✍ 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