Axiomatic Method of Measure and Integration (II). Definition of the Riemann Integral and its Fundamental Properties (Yoshifumi Ito “Differential and Integral Calculus II”, Chapter 9)

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ID	112901
Title Alternative	Axiomatic Method of Measure and Integration (II)
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 Riemann integral of the Jordan measurable function on Rd, (d ≥ 1). Then we study the method of calculation of the Riemann integral. Further we clarify the convergence properties of the Riemann integral completely. These facts are the new results.
Journal Title	Journal of Mathematics
ISSN	13467387
NCID	AA11595324
Publisher	TOKUSHIMA UNIVERSITY
Volume	52
Start Page	17
End Page	38
Sort Key	17
Published Date	2018
FullText File	jm_52_17.pdf 530 KB
language	eng
TextVersion	Publisher
departments	Science and Technology