publication . Article . 1979

Vector-valued Lg-splines I. Interpolating splines

Sidhu, Gursharan S; Weinert, Howard L;
Open Access English
  • Published: 01 Aug 1979 Journal: Journal of Mathematical Analysis and Applications, issue 2, pages 505-529 (issn: 0022247X, Copyright policy)
  • Publisher: Published by Elsevier Inc.
AbstractThe theory of Lg-splines developed by Jerome and Schumaker is extended to the vector-valued (multivariate) case. The extension is described in the frame-work of a reproducing-kernel Hilbert space which among other things allows the establishment of a congruent least-squares estimation problem for a vectorvalued lumped random process. The results include a dynamic recursive algorithm for vector-valued Lg-splines with EHB data and a useful structural characterization theorem for such splines. Some results on computable approximation error bounds are also included.
free text keywords: Mathematical analysis, Congruence (geometry), Hilbert space, symbols.namesake, symbols, Multivariate statistics, Spline (mathematics), Approximation error, Stochastic process, Interpolation, Mathematics, Recursion (computer science), Applied Mathematics, Analysis
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