Riemann and Lebesgue Integrals

Rinaldo B. Schinazi
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Rinaldo B. Schinazi: University of Colorado, Department of Mathematics

Chapter Chapter 14 in From Classical to Modern Analysis, 2018, pp 235-241 from Springer

Abstract: Abstract In this chapter our measure space will be the Lebesgue measure space ( ℝ , ℒ , m ) $$(\mathbb {R}, \mathcal {L}, m)$$ , where ℒ $$\mathcal {L}$$ 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

Date: 2018
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DOI: 10.1007/978-3-319-94583-5_14

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