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Quasi-interpolation Representation and Sampling Recovery of Multivariate Functions
Nguyen Manh Cuong
,
Mai Xuan Thao
Abstract
In this paper, we prove a multivariate generalization of the quasi-interpolation representation of functions in Besov-type spaces by B-spline series with some equivalent discrete quasi-norms. Moreover, by using this representation, we construct linear sampling methods which give the asymptotic order of optimal linear sampling methods.