Splines in Hilbert Spaces

By: Vimala, Walter [author]Material type: TextTextPublication details: 1973Description: iv; 94pSubject(s): Mathematics | Hilbert Space | SplinesOnline resources: Click here to access online Dissertation note: 1973Ph.DUniversity of Madras Abstract: The properties of Splines in Hilbert Space is studied in this thesis. The assumptions are simple and quit sufficient to establish the existence of minimal element for different types of constraint sets, the minimal element being the image of a set of Splines. The existence of two distinct classes of splines is proved; Various interesting and new results for both interpolating and smoothing splines are obtained.
Item type: THESIS & DISSERTATION
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1973

Ph.D

University of Madras

The properties of Splines in Hilbert Space is studied in this thesis. The assumptions are simple and quit sufficient to establish the existence of minimal element for different types of constraint sets, the minimal element being the image of a set of Splines. The existence of two distinct classes of splines is proved; Various interesting and new results for both interpolating and smoothing splines are obtained.

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The Institute of Mathematical Sciences, Chennai, India

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