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Smoothing conditions and their applications

Stankiewicz J.

Fasciculi Mathematici

1999

Nr 30

159-170

Let [...] be two adjacent s-simplices with [...] as the common face. Suppose that with [...], where P and Q are Bezier polynomials in R' with degree n. The conditions, which must be required for functionfto be in class cr across T, were introduced by C.K. Chui and M. Lai (see [3], [4] and Theorem 1 in this paper). The improvement of these conditions were discussed in [6]. As the aplication an algorthm for computation of polynomial coefficients for functionfto be in class Cr across Tis given.