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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Shidama, Yasunari | - |
| dc.contributor.author | Endou, Noboru | - |
| dc.contributor.author | Wasaki, Katsumi | - |
| dc.date.accessioned | 2026-10-29T07:18:32Z | - |
| dc.date.available | 2026-10-29T07:18:32Z | - |
| dc.date.issued | 2007 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 15, Issue 2, Pages 59-63 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21355 | - |
| dc.description.abstract | In this article we define the Riemann indefinite integral of functions of real variable and prove the linearity of that [1]. And we give some examples of the indefinite integral of some elementary functions. Furthermore, also the theorem about integral operation and uniform convergent sequence of functions is proved. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | Riemann Indefinite Integral of Functions of Real Variable | pl |
| dc.type | Article | pl |
| dc.identifier.doi | 10. 2478/v10037-007-0007-6 | - |
| dc.description.Affiliation | Yasunari Shidama - Shinshu University, Nagano, Japan | pl |
| dc.description.Affiliation | Noboru Endou - Gifu National College of Technology, Japan | pl |
| dc.description.Affiliation | Katsumi Wasaki - Shinshu University, Nagano, Japan | pl |
| dc.description.references | Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | pl |
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| dc.description.references | Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions. Formalized Mathematics, 9(2):281-284, 2001. | pl |
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| dc.description.references | Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998. | pl |
| dc.description.references | Tom M. Apostol. Mathematical Analysis. Addison-Wesley, 1969. | pl |
| dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | pl |
| dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | pl |
| dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. | pl |
| dc.description.references | Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990. Search in Google Scholar | pl |
| dc.description.references | Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990. | pl |
| dc.description.volume | 15 | pl |
| dc.description.issue | 2 | pl |
| dc.description.firstpage | 59 | pl |
| dc.description.lastpage | 63 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2007, Volume 15, Issue 2 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| Riemann_Indefinite_Integral_of_Functions_of_Real_Variable.pdf | 139,33 kB | Adobe PDF | Otwórz |
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