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Interpolation on non-uniformly distributed nodes

✍ Scribed by Marcel G. de Bruin


Book ID
104329776
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
353 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis


Interpolation on non-uniformly distributed roots of unity has received quite some a.ttention lately. This paper gives a review of recent results, covering cases ranging from strictly real sets of interpolation nodes to sets located in the complex plane off the real axis.


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On Quasi-Interpolation with Non-uniforml
✍ Vladimir Maz'ya; Gunther Schmidt πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 177 KB

The paper studies quasi-interpolation by scaled shifts of a smooth and rapidly decaying function. The centers are images of a smooth mapping of the h Z n -lattice in R s , s n, and the scaling parameters are proportional to h. We show that for a large class of generating functions the quasi-interpol