Lebesgue Measure and Integral in ℝ $$\mathbb{R}$$

Houshang H. Sohrab
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Houshang H. Sohrab: Towson University, Mathematics

Chapter Chapter 10 in Basic Real Analysis, 2014, pp 465-526 from Springer

Abstract: Abstract In Chap. 7 we saw that the Riemann integral of a (bounded) function f : [ a , b ] → ℝ $$f: [a,b] \rightarrow \mathbb{R}$$ can be obtained as a “limit” of integrals of step functions that approximate f. In fact, we have (cf. Exercise 7.4.8)

Keywords: Riemann Integral; Lebesgue Integral; Pairwise Disjoint Measurable Subsets; Measurable Set; Fundamental Convergence Results (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1841-6_10

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DOI: 10.1007/978-1-4939-1841-6_10

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