Riemann tails and the Lebesgue and Henstock integrals (Q1194684)
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scientific article; zbMATH DE number 68396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann tails and the Lebesgue and Henstock integrals |
scientific article; zbMATH DE number 68396 |
Statements
Riemann tails and the Lebesgue and Henstock integrals (English)
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5 October 1992
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The paper involves the theory of Henstock integrals. A concept of functionally small Riemann sums was defined in \textit{S.-P. Lu} and the reviewer [Real Anal. Exch. 16, No. 2, 537-545 (1991; Zbl 0757.26011)], which characterizes the Henstock integral. The author rephrases and modifies the concept and hence characterizes an integrable function so that the sequence of its truncated functions is uniformly integrable.
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functionally small Riemann sums
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Henstock integral
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