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Understanding the Lebesgue Integral by lordperson is a document available to read on EtoBox.
The document discusses the Lebesgue integral, which generalizes the Riemann integral. It defines the Lebesgue integral for simple functions on sets of finite measure by taking a weighted sum. The Lebesgue integral is shown to be linear and monotonic for simple functions. Bounded measurable functions are then Lebesgue integrable by taking the supremum of integrals of simple functions below the function and the infimum of integrals above. The Lebesgue integral reduces to the Riemann integral for Riemann integ
- Author
- lordperson
- Language
- EN