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Proceedings of the American Mathematical Society

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Simultaneous spline approximation and interpolation preserving norms


Authors: C. K. Chui, E. R. Rozema, P. W. Smith and J. D. Ward
Journal: Proc. Amer. Math. Soc. 54 (1976), 98-100
DOI: https://doi.org/10.1090/S0002-9939-1976-0387917-8
MathSciNet review: 0387917
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Abstract | References | Additional Information

Abstract: In this paper, it is proved that splines of order $ k(k \geqslant 2)$ have property SAIN. The proof of this result is based on the important properties of $ B$-splines.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0387917-8
Keywords: Property SAIN, spline approximation and interpolation, norm preservation, $ B$-spline
Article copyright: © Copyright 1976 American Mathematical Society