Certain properties of \(LG^*\)-integrable functions (Q1076823)
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scientific article; zbMATH DE number 3955276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain properties of \(LG^*\)-integrable functions |
scientific article; zbMATH DE number 3955276 |
Statements
Certain properties of \(LG^*\)-integrable functions (English)
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1984
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The definition of the LG\({}^*\)-integral, describing it by the primitive function, was given by the first author [Mat. Sb., Nov. Ser. 99(141), 84- 120 (1976; Zbl 0332.42012)]. The paper under review contains the constructive definition of that integral and the proof that if a function is Denjoy integrable in the narrow sense and \(LG^*\)-integrable then the value of its \(D^*\)-integral and \(LG^*\)-integral coincide.
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conjugate function
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Denjoy integral
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generalized Lebesgue integral
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\(LG^*\)-integral
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constructive definition
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