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http://hdl.handle.net/11320/5559
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Nakasho, Kazuhisa | - |
dc.contributor.author | Narita, Keiko | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2017-06-02T11:55:28Z | - |
dc.date.available | 2017-06-02T11:55:28Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Formalized Mathematics, Volume 24, Issue 4, pp. 253-260 | pl |
dc.identifier.issn | 1426-2630 | pl |
dc.identifier.issn | 1898-9934 | pl |
dc.identifier.uri | http://hdl.handle.net/11320/5559 | - |
dc.description.abstract | In this article, the basic existence theorem of Riemann-Stieltjes integral is formalized. This theorem states that if f is a continuous function and ρ is a function of bounded variation in a closed interval of real line, f is Riemann-Stieltjes integrable with respect to ρ. In the first section, basic properties of real finite sequences are formalized as preliminaries. In the second section, we formalized the existence theorem of the Riemann-Stieltjes integral. These formalizations are based on [15], [12], [10], and [11]. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.subject | Riemann-Stieltjes integral | - |
dc.subject | bounded variation | - |
dc.subject | continuous function | - |
dc.title | The Basic Existence Theorem of Riemann-Stieltjes Integral | - |
dc.type | Article | - |
dc.identifier.doi | 10.1515/forma-2016-0021 | - |
dc.description.Affiliation | Nakasho Kazuhisa - Akita Prefectural University, Akita, Japan | - |
dc.description.Affiliation | Narita Keiko - Hirosaki-city, Aomori, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
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Występuje w kolekcji(ach): | Formalized Mathematics, 2016, Volume 24, Issue 4 |
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