Beppo-Levi Theorem: Difference between revisions
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The Beppo-Levi theorem is a result in measure theory that gives us conditions wherein we may pass the integral through an infinite series of functions. That is to say, this theorem provides conditions that guarantee the (possibly infinite) sum of the integrals is equal the integral of the sums. | The Beppo-Levi theorem is a result in measure theory that gives us conditions wherein we may then pass the integral through an infinite series of functions. That is to say, this theorem provides conditions that guarantee the (possibly infinite) sum of the integrals is equal the integral of the sums. | ||
Revision as of 22:02, 3 December 2020
The Beppo-Levi theorem is a result in measure theory that gives us conditions wherein we may then pass the integral through an infinite series of functions. That is to say, this theorem provides conditions that guarantee the (possibly infinite) sum of the integrals is equal the integral of the sums.