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Measurable functions and Lebesgue integration

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dc.contributor.advisor Salbany, Sergio en
dc.contributor.author Brooks, Hannalie Helena en
dc.date.accessioned 2009-08-25T10:48:10Z
dc.date.available 2009-08-25T10:48:10Z
dc.date.issued 2009-08-25T10:48:10Z
dc.date.submitted 2002-11-30 en
dc.identifier.uri http://hdl.handle.net/10500/950
dc.description.abstract In this thesis we shall examine the role of measurability in the theory of Lebesgue Integration. This shall be done in the context of the real line where we define the notion of an integral of a bouuded real-valued function over a set of bounded outer measure without a prior assumption of measurability concerning the function and the domain of integration en
dc.format.extent 1 online resource (x, 63 leaves)
dc.language.iso en en
dc.subject Lebesgue integral en
dc.subject Measurable set
dc.subject Outer Measure
dc.subject Inner Measure
dc.subject Generalised Lebesgue Integral
dc.subject Inner Integrals
dc.subject Outer Integrals
dc.subject Integrability
dc.subject Limit Theorems
dc.subject Role of Measurability
dc.subject.ddc 515.43
dc.subject.lcsh Lebesgue integral
dc.subject.lcsh Measure theory
dc.subject.lcsh Limit theorems (Probability theory)
dc.title Measurable functions and Lebesgue integration en
dc.type Dissertation en
dc.contributor.email kakolwk@unisa.ac.za en
dc.description.department Mathematical Sciences en
dc.description.degree M.Sc. en


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