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Optimal designs for weighted approximation and integration of stochastic processes on [0,∞)

✍ Scribed by Leszek Plaskota; Klaus Ritter; Grzegorz W. Wasilkowski


Book ID
108163741
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
318 KB
Volume
20
Category
Article
ISSN
0885-064X

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Forward and Converse Theorems of Polynom
✍ D.S. Lubinsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 522 KB

We consider exponential weights of the form w :=e &Q on (&1, 1) where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove Jackson theorems in weighted L p spaces with norm & fw& Lp(&1,