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Local best rational approximations to continuous functions and the rays they emanate - MaRDI portal

Local best rational approximations to continuous functions and the rays they emanate (Q1104501)

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scientific article; zbMATH DE number 4056238
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Local best rational approximations to continuous functions and the rays they emanate
scientific article; zbMATH DE number 4056238

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    Local best rational approximations to continuous functions and the rays they emanate (English)
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    1988
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    The following theorem is proved: If a real rational function \(r_ 0\in R^ m_ n(C)\) is a local best approximation to \(f_ c=cf+(1-c)r_ 0;\) \(c\geq 0\), then \(r_ 0\) is a global best approximation to the continuous real function f from Re \(R^ m_ n(C)\).
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    global best approximation
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