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Uniform approximation by generalised polynomials

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Abstract

We here describe methods both numerical and analytic to solve the problem of finding the best uniform approximations to a continuous function by a finite dimensional linear space of functions which does not necessarily satisfy the Haar condition. We show how a knowledge ofH-sets is essential and how the theory is simplified by the use of this concept.

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Brannigan, M. Uniform approximation by generalised polynomials. BIT 17, 262–269 (1977). https://doi.org/10.1007/BF01932146

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  • DOI: https://doi.org/10.1007/BF01932146

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