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The Lebesgue Integral

  • Rinaldo B. Schinazi
Chapter
  • 837 Downloads

Abstract

We construct the Lebesgue integral in three steps. First for simple functions, then for positive measurable functions, and finally for all real valued measurable functions. The more technical work is done for simple functions and is then used for the more general sets of functions.

Keywords

Lebesgue Integral Positive Simple Functions Monotone Convergence Theorem Null Set Convenient Abbreviation 
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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoColorado SpringsUSA

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