Strong unicity of best uniform approximation from periodic spline spaces

Zeilfelder, Frank

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Strong unicity of best uniform approximation from periodic spline spaces

Zeilfelder, F. (1999). Strong unicity of best uniform approximation from periodic spline spaces. Journal of Approximation Theory, 99(2), 1-29.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-36E4-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-36E5-2

Genre: Journal Article

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Zeilfelder, Frank¹, Author

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1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047

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Abstract: In this paper we give a complete characterization of the strongly unique best uniform approximation from periodic spline spaces. We distinguish between even-dimensional and odd-dimensional periodic spline spaces. These spaces are weak Chebyshev if and only if their dimension is odd. We show that the stongly unique best approximation from periodic spline spaces of odd dimension can be characterized alone by alternation properties of the error. This is not the case for even dimension. In this case an additional interpolation condition arises in our characterization.

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Language(s): eng - English

Dates: Modified: 2010-03-12Date issued: 1999

Publication Status: Issued

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Rev. Type: Peer

Identifiers: eDoc: 520120
Other: Local-ID: C125675300671F7B-FC8370A27D141A63C1256895005B0DFD-Zeilfelder1999b

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Title: Journal of Approximation Theory

Source Genre: Journal

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Pages: - Volume / Issue: 99 (2) Sequence Number: - Start / End Page: 1 - 29 Identifier: -