Video details loaded
HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem

Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem

1:24:57

Description: 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.

Instructor: Dr. Casey Rodriguez