LEBESGUE’S CRITERION FOR INTEGRABILITY

Bayu Riyadhus Saputro, Sumaji .
DOI: 10.24269/ed.v2i1.85

Abstract


Lebesgue integral was defined constructively by using outer measure, measurable set, measurable function and Lebesgue measure concept. Then it was constructed by using simple function. The requirement of a Lebesgue integrable function to be Riemann integrable is bounded function and the set of discontinuities of that function has measure zero.


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