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Approximation by Λ-Splines on the Circle
Published online by Cambridge University Press: 20 November 2018
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Let Λ = {λ0,…, λn} denote a set of distinct integers and let Π(Λ) denote the set of all generalized polynomials of the form
For any given ζ on the unit circle U with
we consider the set Zk of points 1, ζ, ζ2, …, ζk−1 where
We shall denote by or the class of Λ-splines S(z) which satisfy the following conditions:
(i) S(z) ∊ Cn−1(U)
(ii) S(z)|Av ∊ Π(Λ) where
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- Copyright © Canadian Mathematical Society 1985
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