Measurable functions and Lebesgue integration

Description

In this thesis we shall examine the role of measurerability 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 bounded
real-valued function over a set of bounded outer measure without a prior assumption of measurability concerning the function and the domain of integration. / Mathematical Sciences / M. Sc. (Mathematics)

Links & Downloads

1. Brooks, Hannalie Helena (2002) Measurable functions and Lebesgue integration, University of South Africa, Pretoria, <http://hdl.handle.net/10500/16035>
2. http://hdl.handle.net/10500/16035

Tags

Lebesgue integral

Measurable set

Outer measure

Inner measure

Generalised Lebesgue Integral

Inner integrals

Outer integrals

Integrability

Limit theorems

Role of measurability

515.43

Lebesgue integral

Measure theory

Limit theorems (Probability theory)

Additional Fields

Identifer	oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/16035
Date	11 1900
Creators	Brooks, Hannalie Helena
Contributors	Salbany, Sergio
Source Sets	South African National ETD Portal
Language	English
Detected Language	English
Type	Dissertation
Format	1 online resource (x, 63 leaves)