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Properties of the Integral

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The Lebesgue-Stieltjes Integral

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

In this chapter we will examine some of the essential properties of the Lebesgue-Stieltjes integral, culminating in the convergence theorems that (as remarked in Chapter 3) are among the most important features of the Lebesgue-Stieltjes theory.

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© 2000 Springer Science+Business Media New York

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Carter, M., van Brunt, B. (2000). Properties of the Integral. In: The Lebesgue-Stieltjes Integral. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1174-7_5

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  • DOI: https://doi.org/10.1007/978-1-4612-1174-7_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7033-1

  • Online ISBN: 978-1-4612-1174-7

  • eBook Packages: Springer Book Archive

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