Tensor and Blending Splines

Anatoly Yu. Bezhaev and Vladimir A. Vasilenko
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Vladimir A. Vasilenko: Institute of Computational Mathematics and Mathematical Geophysics

Chapter Chapter 8 in Variational Theory of Splines, 2001, pp 175-194 from Springer

Abstract: Abstract Variational formulations of interpolation and smoothing problems in tensor products of functional spaces were studied in A.Imamov (1977), Yu.S. Zav’yalov and A. Imamov (1978) for the particular case of polynomial splines. This chapter suggests variational formulations corresponding to the tensor product of spline interpolating and smoothing operators in the abstract real Hilbert spaces, gives convergence estimates for interpolating tensor splines and an algorithm for constructing tensor splines.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-3428-7_8

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DOI: 10.1007/978-1-4757-3428-7_8

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