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Lebesgue Integration

  • Sergei Ovchinnikov
Chapter
Part of the Universitext book series (UTX)

Abstract

We define the Lebesgue integral in three stages. First, we define the integral of a bounded function over a measurable set E by following the original Lebesgue’s method.

Keywords

Measurable Function Nonnegative Function Monotonicity Property Measurable Subset Monotone Convergence Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Sergei Ovchinnikov
    • 1
  1. 1.Department of MathematicsSan Francisco State UniversitySan FranciscoUSA

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