On VBG functions and the Denjoy-Khintchine integral (Q1704499)
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scientific article; zbMATH DE number 6848922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On VBG functions and the Denjoy-Khintchine integral |
scientific article; zbMATH DE number 6848922 |
Statements
On VBG functions and the Denjoy-Khintchine integral (English)
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12 March 2018
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The goal in this work is to obtain a simpler characterization of the Denjoy-Khintchine integral. The authors realize these concepts reworking thoroughly Saks's treatise using some aspects of the theory of variational measures that capture the concepts of functions of generalized bounded variation (VBG) and functions of generalized absolute continuity (ACG). Then, the reworked theory is used to provide a simpler characterization of the Denjoy-Khintchine integral.
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variation
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approximate derivative
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Denjoy-Khintchine integral
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generalized absolute continuity
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