REPOZYTORIUM UNIWERSYTETU
W BIAŁYMSTOKU
UwB

Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/20684
Pełny rekord metadanych
Pole DCWartośćJęzyk
dc.contributor.authorEndou, Noboru-
dc.contributor.authorShidama, Yasunari-
dc.contributor.authorNarita, Keiko-
dc.date.accessioned2026-07-30T07:55:25Z-
dc.date.available2026-07-30T07:55:25Z-
dc.date.issued2008-
dc.identifier.citationFormalized Mathematics, Volume 16, Issue 1, Pages 57-63pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/20684-
dc.description.abstractThe goal of this article is to prove Egoroff’s Theorem [13]. However, there are not enough theorems related to sequence of measurable func tions in Mizar Mathematical Library. So we proved many theorems about them. At the end of this article, we showed Egoroff’s theorem.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rightsAttribution-ShareAlike 4.0 International (CC BY-SA 4.0)-
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleEgoroff’s Theorempl
dc.typeArticlepl
dc.rights.holder© 2009 Noboru Endou, Yasunari Shidama, Keiko Narita, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons License.pl
dc.identifier.doi10.2478/v10037-008-0009-z-
dc.description.AffiliationNoboru Endou - Gifu National College of Technology, Japanpl
dc.description.AffiliationYasunari Shidama - Shinshu University, Nagano, Japanpl
dc.description.AffiliationKeiko Narita - Hirosaki-city, Aomori, Japanpl
dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.pl
dc.description.referencesGrzegorz Bancerek. K¨onig’s theorem. Formalized Mathematics, 1(3):589–593, 1990.pl
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
dc.description.referencesJózef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173–183, 1991.pl
dc.description.referencesJózef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263–270, 1991.pl
dc.description.referencesJózef Białas. Some properties of the intervals. Formalized Mathematics, 5(1):21–26, 1996.pl
dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990.pl
dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.pl
dc.description.referencesNoboru Endou and Yasunari Shidama. Integral of measurable function. Formalized Mathematics, 14(2):53–70, 2006.pl
dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. Basic properties of extended real numbers. Formalized Mathematics, 9(3):491–494, 2001.pl
dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions. Formalized Mathematics, 9(3):495–500, 2001.pl
dc.description.referencesAdam Grabowski. On the Kuratowski limit operators. Formalized Mathematics, 11(4):399–409, 2003.pl
dc.description.referencesP. R. Halmos. Measure Theory. Springer-Verlag, 1987.pl
dc.description.referencesJarosław Kotowicz and Yuji Sakai. Properties of partial functions from a domain to the set of real numbers. Formalized Mathematics, 3(2):279–288, 1992.pl
dc.description.referencesAndrzej Nędzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401–407, 1990.pl
dc.description.referencesBeata Padlewska. Families of sets. Formalized Mathematics, 1(1):147–152, 1990.pl
dc.description.referencesBeata Perkowska. Functional sequence from a domain to a domain. Formalized Mathematics, 3(1):17–21, 1992.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73–83, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990pl
dc.description.referencesHiroshi Yamazaki, Noboru Endou, Yasunari Shidama, and Hiroyuki Okazaki. Inferior limit, superior limit and convergence of sequences of extended real numbers. Formalized Mathematics, 15(4):231–236, 2007.pl
dc.description.referencesBo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Limit of sequence of subsets. Formalized Mathematics, 13(2):347–352, 2005pl
dc.identifier.eissn1898-9934-
dc.description.volume16pl
dc.description.issue1pl
dc.description.firstpage57pl
dc.description.lastpage63pl
dc.identifier.citation2Formalized Mathematicspl
Występuje w kolekcji(ach):Formalized Mathematics, 2008, Volume 16, Issue 1

Pliki w tej pozycji:
Plik Opis RozmiarFormat 
Egoroff's_Theorem.pdf250,18 kBAdobe PDFOtwórz
Pokaż uproszczony widok rekordu Zobacz statystyki


Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL Creative Commons