DOI: 10.1007/978-3-642-11620-9_22
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Sara Remogna

Abstract: Abstract. We consider discrete quasi-interpolants based on C 1 quadratic boxsplines on uniform criss-cross triangulations of a rectangular domain. The main problem consists in finding good (if not best) coefficient functionals, associated with boundary box-splines, giving both an optimal approximation order and a small infinity norm of the operator. Moreover, we want that these functionals only involve data points inside the domain. They are obtained either by minimizing their infinity norm w.r.t. a finite nu…

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