Dini derivatives of an unusual function (Q1120691)
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scientific article; zbMATH DE number 4101505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dini derivatives of an unusual function |
scientific article; zbMATH DE number 4101505 |
Statements
Dini derivatives of an unusual function (English)
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1989
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The author shows that there exists a function \(f: [0,1]\to R,\) not of bounded variation, satisfying \(D^+f(x)\geq 0\geq D_+f(x)\) for \(0\leq x<1\) and \(D^-f(x)\geq 0\geq D_-f(x)\) for \(0<x\leq 1,\) such that f is continuous at all but at most countably many points.
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Dini derivatives
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discontinuity
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