Convergence of Functions

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University of Rio de Janeiro, Electrical Engineering Department

Chapter 6 in Essentials of Measure Theory, 2015, pp 89-107 from Springer

Abstract: Abstract Major convergence concepts for sequences of real-valued functions will be considered in this chapter. We have already met four convergence concepts so far (viz., pointwise, uniform, almost everywhere, and convergence in L p ). These are reviewed and compared in this section. Further concepts, namely, convergence in measure, uniform almost everywhere, and almost uniform convergence, will be discussed and compared in subsequent sections.

Date: 2015
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DOI: 10.1007/978-3-319-22506-7_6

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