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On a space of functions representable by derivatives - MaRDI portal

On a space of functions representable by derivatives (Q790267)

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scientific article; zbMATH DE number 3847688
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On a space of functions representable by derivatives
scientific article; zbMATH DE number 3847688

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    On a space of functions representable by derivatives (English)
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    1982
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    The main result is: for each function f which is the uniform limit of a sequence of bounded functions on [0,1] each with only finitely many discontinuities, there exist derivatives \(f_ 1\), \(f_ 2\) and \(f_ 3\) such that \(f=f_ 1+f_ 2f_ 3\).
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    space of bounded functions
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    uniform limit of a sequence of bounded functions
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    representation of functions by derivatives
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