Basic convergence principles for the Kurzweil-Henstock integral (Q1803963)
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scientific article; zbMATH DE number 222089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Basic convergence principles for the Kurzweil-Henstock integral |
scientific article; zbMATH DE number 222089 |
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Basic convergence principles for the Kurzweil-Henstock integral (English)
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29 June 1993
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The author proves a general convergence theorem for the Kurzweil-Henstock integral and deduces from it other versions of convergence theorems. The results are all phrased in terms of differentials on the real line. As claimed by the author, where his work overlaps that of others (for example the reviewer, T. S. Chew and R. Gordon) he improves formulations, extends generality, and eliminates irrelevant or redundant hypotheses. For the Kurzweil-Henstock integral, see for example the reviewer [Lanzhou lectures on Henstock integration (1989; Zbl 0699.26004)].
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convergence theorem
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Kurzweil-Henstock integral
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