On a variational measure determined by an approximate differential basis (Q1405904)
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scientific article; zbMATH DE number 1977033
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a variational measure determined by an approximate differential basis |
scientific article; zbMATH DE number 1977033 |
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On a variational measure determined by an approximate differential basis (English)
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8 September 2003
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The authors prove that a variational measure with respect to an approximate differential basis generated by an interval function is \(\sigma\)-finite and absolutely continuous with respect to the Lebesgue measure. Based on this fact a new descriptive definition of the approximate Henstock integral is established.
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variational measure
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approximate Henstock integral
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