dominated convergence theorem
Sign in to saveAlso known as Lebesgue's dominated convergence theorem
theorem that, for a sequence of functions bounded in absolute value by an integrable function, then almost everywhere pointwise convergence implies L¹ convergence
In the Vinony graph
Within Vinony's link graph, dominated convergence theorem is referenced by 191 other articles, and connects out to convergence of random variables, Fatou's lemma and measure.
It is catalogued under topics including Theorems in measure theory, Theorems in probability theory and Theorems in real analysis.
Its subject is documented across 18 Wikipedia language editions.
Connections
convergence of random variables
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Fatou's lemma
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measure
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Riemann integral
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Lebesgue integration
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Lp space
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Fubini's theorem
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absolute continuity
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Radon measure
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projection-valued measure
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Hahn decomposition theorem
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regular measure
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atom
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uniform integrability
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International Standard Book Number
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complex number
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function
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real number
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probability theory
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sequence
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