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- W1976541741 abstract "An approximating family is called alternating if a best Chebyshev approximation is characterized by its error curve having a certain number of alternations. The convergence properties of such families are studied. A sufficient condition for the limit of best approximation on subsets to converge uniformly to the best approximation is given: it is shown that this is often (but not always) a necessary condition. A sufficient condition for the Chebyshev operator to be continuous is given: it is shown that this is often (but not always) a necessary condition." @default.
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- W1976541741 date "1973-01-01" @default.
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- W1976541741 title "Alternating Chebyshev approximation" @default.
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- W1976541741 doi "https://doi.org/10.1090/s0002-9947-1973-0318736-8" @default.
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