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http://hdl.handle.net/11320/3683Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Narita, Keiko | - |
| dc.contributor.author | Endou, Noboru | - |
| dc.contributor.author | Shidama, Yasunari | - |
| dc.date.accessioned | 2015-12-09T20:39:35Z | - |
| dc.date.available | 2015-12-09T20:39:35Z | - |
| dc.date.issued | 2013 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 21, Issue 2, 2013, Pages 145-152 | - |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.issn | 1898-9934 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/3683 | - |
| dc.description.abstract | In this article we deal with the Riemann integral of functions from R into a real Banach space. The last theorem establishes the integrability of continuous functions on the closed interval of reals. To prove the integrability we defined uniform continuity for functions from R into a real normed space, and proved related theorems. We also stated some properties of finite sequences of elements of a real normed space and finite sequences of real numbers. In addition we proved some theorems about the convergence of sequences. We applied definitions introduced in the previous article [21] to the proof of integrability. | - |
| dc.description.sponsorship | This work was supported by JSPS KAKENHI 22300285 and 23500029 | - |
| dc.language.iso | en | - |
| dc.publisher | De Gruyter Open | - |
| dc.subject | formalization of Riemann integral | - |
| dc.title | Riemann Integral of Functions from R into Real Banach Space | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.2478/forma-2013-0016 | - |
| dc.description.Affiliation | Narita Keiko - Hirosaki-city Aomori, Japan | - |
| dc.description.Affiliation | Endou Noboru - Gifu National College of Technology Japan | - |
| dc.description.Affiliation | Shidama Yasunari - Shinshu University Nagano, Japan | - |
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| Występuje w kolekcji(ach): | Formalized Mathematics, 2013, Volume 21, Issue 2 | |
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