A concept of generalized absolute continuity for the \(\mathcal F\)-integral (Q1374601)
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scientific article; zbMATH DE number 1095903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A concept of generalized absolute continuity for the \(\mathcal F\)-integral |
scientific article; zbMATH DE number 1095903 |
Statements
A concept of generalized absolute continuity for the \(\mathcal F\)-integral (English)
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10 December 1997
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The author defines a concept of generalized absolute continuity for additive functions of figures. Using this concept, a descriptive definition of the \(\mathcal F\)-integral (a multidimensional generalized Riemann integral introduced by W. Pfeffer) is given. A possible extension to additive functions of sets of bounded variation is discussed.
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generalized absolute continuity
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additive functions of figures
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\(\mathcal F\)-integral
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\(BV\)-integral
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0.8947545
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0.89341116
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0.8829251
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0.8800645
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0.87612355
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