Axiomatic Method of Measure and Integration (IV). Definition of the Lebesgue Integral and its Fundamental Properties (Yoshifumi Ito “Differential and Integral Calculus II”, Chapters 6, 7, 9)

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Use this link to cite this item : https://repo.lib.tokushima-u.ac.jp/115941

ID	115941
Title Alternative	Axiomatic Method of Measure and Integration (IV)
Author	Ito, Yoshifumi University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type	Departmental Bulletin Paper
Description	In this paper, we define the Lebesgue integral of the Lebesgue measurable function on Rd, (d ≥ 1). Then we study the method of calculation of the Lebesgue integral. Further we clarify the convergence properties of the Lebesgue integral completely. These facts are the new results.
Journal Title	Journal of Mathematics
ISSN	13467387
NCID	AA11595324
Publisher	TOKUSHIMA UNIVERSITY
Volume	53
Start Page	27
End Page	53
Sort Key	27
Published Date	2019
FullText File	jm_53_27.pdf 574 KB
language	eng
TextVersion	Publisher
departments	Science and Technology