Abstract
We generalize the cutting-plane method and the Remez method to the case of the problem of the best simultaneous uniform approximation of a family of functions continuous on a compact set.
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Hnatyuk, Y.V. Algorithms for the Best Simultaneous Uniform Approximation of a Family of Functions Continuous on a Compact Set by a Chebyshev Subspace. Ukrainian Mathematical Journal 55, 355–376 (2003). https://doi.org/10.1023/A:1025883526337
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DOI: https://doi.org/10.1023/A:1025883526337