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.
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Bibliography
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© 2001 Springer Science+Business Media New York
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Bezhaev, A.Y., Vasilenko, V.A. (2001). Tensor and Blending Splines. In: Variational Theory of Splines. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3428-7_8
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DOI: https://doi.org/10.1007/978-1-4757-3428-7_8
Publisher Name: Springer, Boston, MA
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