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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Endou, Noboru | pl |
| dc.date.accessioned | 2016-12-16T10:30:41Z | - |
| dc.date.available | 2016-12-16T10:30:41Z | - |
| dc.date.issued | 2015 | pl |
| dc.identifier.citation | Formalized Mathematics, Volume 23, Issue 4, 309–323 | pl |
| dc.identifier.issn | 1426-2630 | pl |
| dc.identifier.issn | 1898-9934 | pl |
| dc.identifier.uri | http://hdl.handle.net/11320/4905 | - |
| dc.description.abstract | In our previous article [22], we showed complete additivity as a condition for extension of a measure. However, this condition premised the existence of a σ-field and the measure on it. In general, the existence of the measure on σ-field is not obvious. On the other hand, the proof of existence of a measure on a semialgebra is easier than in the case of a σ-field. Therefore, in this article we define a measure (pre-measure) on a semialgebra and extend it to a measure on a σ-field. Furthermore, we give a σ-measure as an extension of the measure on a σ-field. We follow [24], [10], and [31]. | pl |
| dc.description.sponsorship | This work was supported by JSPS KAKENHI 23500029 | pl |
| dc.language.iso | en | pl |
| dc.publisher | De Gruyter Open | pl |
| dc.subject | measure theory | pl |
| dc.subject | pre-measure | pl |
| dc.title | Construction of Measure from Semialgebra of Sets | pl |
| dc.type | Article | pl |
| dc.identifier.doi | 10.1515/forma-2015-0025 | pl |
| dc.description.Affiliation | Gifu National College of Technology, Gifu, Japan | pl |
| dc.description.references | is work was supported by JSPS KAKENHI 23500029.↩ | pl |
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| Występuje w kolekcji(ach): | Formalized Mathematics, 2015, Volume 23, Issue 4 | |
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