An elementary proof of the Banach-Zarecki theorem (Q1978868)
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scientific article; zbMATH DE number 1449424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof of the Banach-Zarecki theorem |
scientific article; zbMATH DE number 1449424 |
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An elementary proof of the Banach-Zarecki theorem (English)
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21 May 2000
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The author proves the Banach-Zarecki theorem (If \(F\) is a continuous function on \([a,b]\) with bounded variation and satisfies Luzin's condition (N) then \(F\) is absolutely continuous on \([a,b]\).) in an elementary way.
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Luzin's condition
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bounded variation
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absolutely continuous functions
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Banach-Zarecki theorem
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0.8258364796638489
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0.8170498609542847
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0.8004786372184753
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