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Error estimates for moving least square approximations

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Bulletin of the Brazilian Mathematical Society Aims and scope Submit manuscript

Abstract.

In this paper we obtain error estimates for moving least square approximations for the function and its derivatives. We introduce, at every point of the domain, condition numbers of the star of nodes in the normal equation, which are practically computable and are closely related to the approximating power of the method.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Nacional de San Luis, Chacabuco y Pedernera, 5700, San Luis, ARGENTINA

    Carlos Zuppa

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  1. Carlos Zuppa
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Correspondence to Carlos Zuppa.

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Zuppa, C. Error estimates for moving least square approximations. Bull Braz Math Soc 34, 231–249 (2003). https://doi.org/10.1007/s00574-003-0010-7

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  • DOI: https://doi.org/10.1007/s00574-003-0010-7

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