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- W2041195280 abstract "In this paper we investigate the approximation power of local bivariate quadratic C 1 quasi-interpolating (q-i) spline operators with a four-directional mesh. In particular, we show that they can approximate a real function and its partial derivatives up to an optimal order and we derive local and global upper bounds both for the errors and for the spline partial derivatives, in the case the spline is more differentiable than the function. Then such general results are applied to prove new properties of two interesting q-i spline operators, proposed and partially studied in Chui and Wang (Sci. Sinica XXVII (1984) 1129–1142)." @default.
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- W2041195280 date "2001-06-01" @default.
- W2041195280 modified "2023-09-27" @default.
- W2041195280 title "On the approximation power of bivariate quadratic C1 splines" @default.
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- W2041195280 doi "https://doi.org/10.1016/s0377-0427(00)00265-x" @default.
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