KnowraLebesgue integralLinked fromLinked fromThe 45 pages that link to Lebesgue integral, each with the reason it gives.All 45Broader topic 2Related 27Narrower topic 8Compared with 8Dominated convergence theoremNarrower topic: The theorem concerns convergence of Lebesgue integrals, whose measure-based definition supports its proof.Uniform integrabilityNarrower topic: Uniform integrability constrains how these integrals behave across a family of functions.Weak derivativeNarrower topic: Weak derivative identities use integrals that remain meaningful beyond continuous functions.Absolute continuityNarrower topic: Its integrable functions generate exactly the interval changes of absolutely continuous functions.Fourier inversion theoremNarrower topic: Standard inversion hypotheses are commonly stated using Lebesgue integrability.Riemann–Lebesgue lemmaNarrower topic: The lemma applies to functions integrable in the Lebesgue sense.Fatou's lemmaNarrower topic: Fatou's lemma concerns limits of Lebesgue integrals, including when those integrals are infinite.Steffensen's inequalityNarrower topic: The inequality extends naturally from ordinary integrals to measurable functions.