On some representations of functions discontinuous on countable sets (Q2757025)
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scientific article; zbMATH DE number 1675681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some representations of functions discontinuous on countable sets |
scientific article; zbMATH DE number 1675681 |
Statements
16 September 2002
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representation
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discontinuity
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bilaterally quasicontinuous functions
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On some representations of functions discontinuous on countable sets (English)
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The authors prove that for every function \(f: \mathbb{R}\to\mathbb{R}\) having countably many points of discontinuity there are bilaterally quasicontinuous functions \(g,h: \mathbb{R}\to\mathbb{R}\) such that \(f= g+h\) and for each point \(x\) at which \(f\) is continuous from the right (left) both the functions \(f,g\) are also continuous from the right (left).
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