KnowraIntegrable functionLinked fromLinked fromThe 7 pages that link to Integrable function, each with the reason it gives.All 7Broader topic 1Related 5Narrower topic 1Fourier transformNarrower topic: Integrability is a common condition ensuring the transform’s defining integral exists.Lebesgue integralBroader topic: This is the central class for finite-valued Lebesgue integration.Jensen's inequalityRelated: Integrability conditions make the expectation form of Jensen mathematically meaningful.Dominated convergence theoremRelated: The dominating function must be integrable so it can control the sequence's tails.Absolute continuityRelated: Integrable derivatives provide the densities of change for absolutely continuous functions.Ergodic theoremRelated: Integrability is a standard condition for applying Birkhoff’s theorem.Steffensen's inequalityRelated: Integrability ensures that the weighted and interval integrals are finite.