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The instability degree in the diemnsion of spaces of bivariate spline

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Analysis in Theory and Applications

Abstract

In this paper, the dimension of the spaces of bivariate spline with degree less that 2r and smoothness order r on the Morgan-Scott triangulation is considered. The concept of the instability degree in the dimension of spaces of bivariate spline is presented. The results in the paper make us conjecture the instability degree in the dimension of spaces of bivariate spline is infinity.

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Authors and Affiliations

  1. Institute of mathematical Sciences, Dalian University of Technolagy, 116024, Dalian, PR China

    Zhiqiang Xu & Renhong Wang

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  1. Zhiqiang Xu
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  2. Renhong Wang
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Correspondence to Zhiqiang Xu.

Additional information

Project Supported by the National Natural Science Foundation of China (No. 19871010, No. 69973010).

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Xu, Z., Wang, R. The instability degree in the diemnsion of spaces of bivariate spline. Approx. Theory & its Appl. 18, 68–80 (2002). https://doi.org/10.1007/BF02837049

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  • DOI: https://doi.org/10.1007/BF02837049

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