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Characterization of best uniform approximation with restricted ranges of derivatives

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Approximation Theory and its Applications

Abstract

This paper gives a general characterization theorem of a best uniform approximation of generalized polynomial having multiple restricted ranges of its derivatives. This theorem is widely applicable. The results on characterization in many standard approximations, such as approximation with Hermite-Birkhoff interpolatory side conditions, multiple comonotone approximation, and approximation by algebraic polynomials having bounded coefficients, etc., are special cases of our results.

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Authors and Affiliations

  1. Department of mathematics, Jiangnan University, 214063, Weuxi, Jiangsu Province, China

    Xu Shusheng

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  1. Xu Shusheng
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Shusheng, X. Characterization of best uniform approximation with restricted ranges of derivatives. Approx. Theory & its Appl. 13, 37–48 (1997). https://doi.org/10.1007/BF02836258

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  • DOI: https://doi.org/10.1007/BF02836258

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