Asymptotically optimal sampling schemes for periodic functions
Published online by Cambridge University Press: 24 October 2008
Extract
In this paper we are concerned with the following question: Given a function class , the space of L2-one periodic complex valued functions, when does sampling a function give optimal information for approximation? To make this question precise, we introduce the quantity
, where A is any mapping from ℝN and I is any continuous linear mapping from into ℝN.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 171 - 177
- Copyright
- Copyright © Cambridge Philosophical Society 1986
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