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A simple proof of the fundamental theorem of calculus for the Lebesgue integral.
- Source :
- Studia Universitatis Babeş-Bolyai, Mathematica; Jun2013, Vol. 58 Issue 2, p139-145, 7p
- Publication Year :
- 2013
-
Abstract
- This paper contains a new elementary proof of the Fundamental Theorem of Calculus for the Lebesgue integral. The hardest part of our proof simply concerns the convergence in L1 of a certain sequence of step functions, and we prove it using only basic elements from Lebesgue integration theory. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICS
CALCULUS
MATHEMATICAL analysis
MATHEMATICAL functions
LEBESGUE integral
Subjects
Details
- Language :
- English
- ISSN :
- 02521938
- Volume :
- 58
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Studia Universitatis Babeş-Bolyai, Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 88210437