Self-Help-Group 发表于 2025-3-26 22:56:40
C1 Interpolation on Higher-Dimensional Analogues of the 4-Direction Mesh,1,...,.}. Sharp necessary and sufficient conditions on data at the vertices of Δ. are given that allow interpolation of the data by .-variate, .. piecewise polynomials of degree . + 1. For degree . + 2 and higher, values and normals at the vertices can be stably interpolated and a unit-norm .. Lagrange function for each vertex is exhibited.BRACE 发表于 2025-3-27 02:50:27
http://reply.papertrans.cn/67/6692/669106/669106_32.png异教徒 发表于 2025-3-27 08:30:29
Spline-Wavelets of Minimal Support,For any finite dimensional univariate spline spaces .. and .. of the same degree, with .. ⊂ .., we determine a basis for the orthogonal complement of .. in ... This basis has minimal support and is of interest in wavelet decompositions.WATER 发表于 2025-3-27 11:18:03
http://reply.papertrans.cn/67/6692/669106/669106_34.pnghabile 发表于 2025-3-27 15:00:48
Segment Approximation Using Linear Functionals,Properties of linear functionals which annihilate finite dimensional Haar or weak Chebyshev subspaces of .[., .] are studied. It is shown that such functionals can be used to compute optimal sets of knots for piecewise approximation of certain functions in .[., .] with respect to best ..- and ..-approximation.正面 发表于 2025-3-27 21:27:35
978-3-0348-9702-0Springer Basel AG 1992–DOX 发表于 2025-3-27 23:23:04
http://reply.papertrans.cn/67/6692/669106/669106_37.png合法 发表于 2025-3-28 02:15:39
http://reply.papertrans.cn/67/6692/669106/669106_38.png使害怕 发表于 2025-3-28 09:03:14
http://reply.papertrans.cn/67/6692/669106/669106_39.pngmisanthrope 发表于 2025-3-28 13:44:45
Tabulation of Thin Plate Splines on a Very Fine Two-Dimensional Grid, that the exponent −1/3 is due to the order of the differences that are employed. An algorithm for this calculation is described and discussed and some numerical results are presented. The errors of the subtabulation procedures are studied in an appendix.