Convergence from below suffices

J. F. Feinstein

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arXiv · 1412.7702

Convergence from below suffices

J. F. Feinstein

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Abstract

An elementary application of Fatou's lemma gives a strengthened version of the monotone convergence theorem. We call this the convergence from below theorem. We make the case that this result should be better known, and deserves a place in any introductory course on measure and integration.

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BibTeX RIS

J. F. Feinstein. 2014-12-24. Convergence from below suffices. https://arxiv.org/abs/1412.7702

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