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Riemann and Lebesgue Integrals

  • Rinaldo B. Schinazi
Chapter
  • 839 Downloads

Abstract

In this chapter our measure space will be the Lebesgue measure space \((\mathbb {R}, \mathcal {L}, m)\), where \(\mathcal {L}\) is the Lebesgue σ-algebra and m the Lebesgue measure. We will say that a function f is Lebesgue integrable on some measurable set I if ∫I|f|dm < +.

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© 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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