The Bounded Convergence Theorem

DOI10.1080/00029890.2020.1736470zbMath1439.26032OpenAlexW3027634808MaRDI QIDQ5111074

Brian S. Thomson

Publication date: 26 May 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1736470

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integrals of Riemann, Stieltjes and Lebesgue type (26A42)

Related Items (2)

Arzelà's bounded convergence theorem ⋮ The asymptotic expansion for a class of convergent sequences defined by integrals

Cites Work

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• An eigenvector proof of Fatou's lemma for continuous functions
• A Concise, Elementary Proof of Arzelà’s Bounded Convergence Theorem
• Rethinking the Lebesgue Integral
• Notes on integration I: The underlying convergence theorem
• The Tonelli Integral
• Riemann Integration of Limit Functions
• Arzela's Dominated Convergence Theorem for the Riemann Integral
• Definition of the Lebesgue Integral

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