Abstract | ||
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In this paper, we use C1 cubic B-splines to construct the Hermite interpolant of any polynomial in terms of their blossom. Consequently, a simple method is presented to get superconvergence phenomenon of cubic spline quasi-interpolants at the knots of a uniform partition. Thanks to this phenomenon, the cubic spline quasi-interpolant provides an interesting approximation very accurate at the superconvergence points. Numerical results are given to illustrate the theoretical ones. |
Year | DOI | Venue |
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2015 | 10.1016/j.matcom.2014.12.004 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
B-spline,Polar form,Quasi-interpolant | Spline (mathematics),Mathematical optimization,Spline interpolation,Hermite spline,Mathematical analysis,Interpolation,Smoothing spline,Superconvergence,Monotone cubic interpolation,Cubic Hermite spline,Mathematics | Journal |
Volume | ISSN | Citations |
118 | 0378-4754 | 1 |
PageRank | References | Authors |
0.43 | 8 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ahmed Boujraf | 1 | 1 | 0.43 |
M. Tahrichi | 2 | 1 | 0.43 |
Ahmed Tijini | 3 | 20 | 5.11 |