Lebesgue integral defined in the manner of Riemann
It is shown that the Lebesgue integral of abounded real-valued function on abounded real closed interval can be defined following the classical definition of Riemann (and Darboux) by partitioning the domain of f into finitely many pairwise disjoint, however, measurable (and not necessarily interval)...
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| Veröffentlicht in: | International journal of mathematical education in science and technology 1999-02, Vol.30 (1), p.127-130 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is shown that the Lebesgue integral of abounded real-valued function on abounded real closed interval can be defined following the classical definition of Riemann (and Darboux) by partitioning the domain of f into finitely many pairwise disjoint, however, measurable (and not necessarily interval) parts. |
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| ISSN: | 0020-739X 1464-5211 |
| DOI: | 10.1080/002073999288175 |