Local Explicit Many-Knot Spline Hermite Approximation Schemes
Year: 1983
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 4 : pp. 317–321
Abstract
If f(i))(α)(α=a,i=0,1,...,k−2) are given, then we get a class of the Hermite approximation operator Qf=F satisfying F(i)(α)=f(i)(α), where F is the many-knot spline function whose knots are at points yi:=y0<y1<⋯<yk−1=b, and F∈Pk on [yi−1,yi]. The operator is of the form Qf:=k−2∑i=0[f(i)(a)ϕi+f(i)(b)ψi]. We give an explicit representation of ϕi and ψi in terms of B-splines Ni,k. We show that Q reproduces appropriate classes of polynomials.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1983-JCM-9707
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 4 : pp. 317–321
Published online: 1983-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 5