Differentiation and Integration

Peter A. Loeb
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Peter A. Loeb: University of Illinois

Chapter Chapter 5 in Real Analysis, 2016, pp 79-93 from Springer

Abstract: Abstract In this chapter, we consider under what conditions and to what extent integration and differentiation are inverse operations on a function. We apply new results obtained by the author of this text with J. Bliedner [11]. Those results use “local maximum functions”; they extend and simplify the usual techniques used for the material presented in this chapter.

Keywords: Lebesgue Measure; Absolute Continuity; Finite Measure; Lebesgue Integrable Function; Covering Theorem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30744-2_5

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DOI: 10.1007/978-3-319-30744-2_5

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