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Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence...
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MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez
We define the class of Lebesgue integrable functions and the Lebesgue integral, and we prove the powerful Dominated Convergence Theorem! We conclude by showing that the Riemann and Lebesgue integrals agree for continuous functions on a bounded interval.
License: Creative Commons BY-NC-SA
Instructor: Dr. Casey Rodriguez
We define the class of Lebesgue integrable functions and the Lebesgue integral, and we prove the powerful Dominated Convergence Theorem! We conclude by showing that the Riemann and Lebesgue integrals agree for continuous functions on a bounded interval.
License: Creative Commons BY-NC-SA
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