Existence questions for the problem of Chebyshev approximation by interpolating rationals

Taylor, G. D.; Williams, J.

doi:10.1090/S0025-5718-1974-0355435-5

Existence questions for the problem of Chebyshev approximation by interpolating rationals
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by G. D. Taylor and J. Williams PDF

Math. Comp. 28 (1974), 1097-1103 Request permission

Abstract:

This paper considers a problem of Chebyshev approximation by interpolating rationals. Examples are given which show that best approximations may not exist. Sufficient conditions for existence are established, some of which can easily be checked in practice. Illustrative examples are also presented.

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