A comparison of two generalizations of the Riemann integral (Q1111716)
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scientific article; zbMATH DE number 4075435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison of two generalizations of the Riemann integral |
scientific article; zbMATH DE number 4075435 |
Statements
A comparison of two generalizations of the Riemann integral (English)
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1988
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The authors recall the definition of the G-integral of \textit{M. W. Botsko} [Am. Math. Mon. 93, 728-732 (1986; Zbl 0619.26007)] which is a kind of simplified Perron integral. The main result of the paper says that the G- integral is not as general as the Henstock integral (for example, unbounded functions are not G-integrable).
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generalizations of the Riemann integral
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G-integral
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simplified Perron integral
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Henstock integral
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0.9160233
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0.91304064
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0.8946386
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0.89351124
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0.89182854
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0.88927114
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