On the structure and interpolation properties of quasi shift-invariant spaces
نویسندگان
چکیده
منابع مشابه
Quasi-interpolation in shift invariant spaces
Let s ≥ 1 be an integer, φ : Rs → R be a compactly supported function, and S(φ) denote the linear span of {φ(· − k) : k ∈ Zs}. We consider the problem of approximating a continuous function f : Rs → R on compact subsets of Rs from the classes S(φ(h·)), h > 0, based on samples of the function at scattered sites in R s. We demonstrate how classical polynomial inequalities lead to the construction...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2018
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2018.01.013