Browsing Research articles (Dept of Mathematics) by Subject "Lebesgue theorems"
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On the differentiability of vector valued additive set functions
(Scientific Research, http://www.scirp.org, 2013-11)The Lebesgue-Nikodým Theorem states that for a Lebesgue measure λ:Σ〖⊂2〗^Ω→[0,∞) an additive set function F:Σ→R which is λ-absolutely continuous is the integral of a Lebegsue integrable a measurable function ...