# QUADRATIC SPLINE QUASI-INTERPOLANTS ON BOUNDED DOMAINS OF R^d, d = 1, 2, 3

@inproceedings{Sablonnire2003QUADRATICSQ, title={QUADRATIC SPLINE QUASI-INTERPOLANTS ON BOUNDED DOMAINS OF R^d, d = 1, 2, 3}, author={Paul Sablonni{\`e}re}, year={2003} }

- Published 2003

We study some C1 quadratic spline quasi-interpolants on bounded domains ⊂ Rd, d = 1, 2, 3. These operators are of the form Q f (x) = ∑ k∈K () μk( f )Bk(x), where K () is the set of indices of B-splines Bk whose support is included in the domain and μk( f ) is a discrete linear functional based on values of f in a neighbourhood of xk ∈ supp(Bk). The data points x j are vertices of a uniform or nonuniform partition of the domainwhere the function f is to be approximated. Beyond the… CONTINUE READING

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