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Sign-sensitive approximations - MaRDI portal

Sign-sensitive approximations (Q1273571)

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scientific article; zbMATH DE number 1231428
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Sign-sensitive approximations
scientific article; zbMATH DE number 1231428

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    Sign-sensitive approximations (English)
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    21 December 1998
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    This paper investigates sign-sensitive approximation in details and establishes the Chebyshev theory for such approximations, including existence, uniqueness, alternation characterization, as well as continuity of the best approximation, etc. In sign-sensitive approximations, the size of the deviation of approximation takes into account not only the modulus of the approximation error, but also its sign (which can be important in practice).
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    sign-sensitive approximation
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    Chebyshev theory
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    stability
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    best approximation
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