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  3. Formalized Mathematics
  4. Formalized Mathematics, 2008, Volume 16, Issue 1

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/20663
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    Pole DCWartośćJęzyk
    dc.contributor.authorNarita, Keiko-
    dc.contributor.authorEndou, Noboru-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2026-07-29T09:55:59Z-
    dc.date.available2026-07-29T09:55:59Z-
    dc.date.issued2008-
    dc.identifier.citationFormalized Mathematics, Volume 16, Issue 1, Pages 51-55pl
    dc.identifier.issn1426-2630-
    dc.identifier.urihttp://hdl.handle.net/11320/20663-
    dc.description.abstractIn this article, we prove the first mean value theorem for in tegrals [16]. The formalization of various theorems about the properties of the Lebesgue integral is also presented.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.titleThe First Mean Value Theorem for Integralspl
    dc.typeArticlepl
    dc.rights.holder© 2009 Keiko Narita, Noboru Endou, Yasunari Shidama, published by University of Białystokpl
    dc.rights.holderThis work is licensed under the Creative Commons License.pl
    dc.identifier.doi10.2478/v10037-008-0008-0-
    dc.description.AffiliationKeiko Narita - Hirosaki-city Aomori, Japanpl
    dc.description.AffiliationNoboru Endou - Gifu National College of Technology, Japanpl
    dc.description.AffiliationYasunari Shidama - Shinshu University Nagano, Japanpl
    dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.pl
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
    dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.pl
    dc.description.referencesJózef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163–171, 1991.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. Binary operations. Formalized Mathematics, 1(1):175–180, 1990.pl
    dc.description.referencesCzesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529–536, 1990.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.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. The measurability of extended real valued functions. Formalized Mathematics, 9(3):525–529, 2001.pl
    dc.description.referencesP. R. Halmos. Measure Theory. Springer-Verlag, 1987.pl
    dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35–40, 1990.pl
    dc.description.referencesRafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887–890, 1990.pl
    dc.description.referencesAndrzej Nędzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401–407, 1990.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, 1990.pl
    dc.identifier.eissn1898-9934-
    dc.description.volume16pl
    dc.description.issue1pl
    dc.description.firstpage51pl
    dc.description.lastpage55pl
    dc.identifier.citation2Formalized Mathematicspl
    Występuje w kolekcji(ach):Formalized Mathematics, 2008, Volume 16, Issue 1

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