dominated convergence theorem
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dominated convergence theorem [′däm·ə‚nād·əd kən′vər·jəns ‚thir·əm]

(mathematics)

If a sequence {ƒ_n} of Lebesgue measurable functions converges almost everywhere to ƒ and if the absolute value of each ƒ_nis dominated by the same integrable function, then ƒ is integrable and lim ∫ ƒ_ndm= ∫ ƒdm.

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No references found			1](R), we can apply Lebesgue's dominated convergence theorem to (24) and obtain [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (25) after using Lemma 3 again. The Riemann Zeta function and the sampling theorem by Higgins, J.R. / Sampling Theory in Signal and Image Processing ]([tau](g)) and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] By Lebesgue's Dominated Convergence Theorem, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] But this limit must be the rate of escape l. Rate of escape of random walks on regular languages and free products ... by Gilch, Lorenz A. / DMTCS Proceedings			Lebedeva, Vera Lebedeva, Vera Pavlovna Lebedevka Lebedian Lebediantsev, Aleksandr Lebediantsev, Aleksandr Nikandrovich Lebedin Lebedin Cattle Lebedinskii, Andrei Lebedinskii, Andrei Vladimirovich Lebedinskii, Viacheslav Lebedinskii, Viacheslav Vasilevich Lebedinskii, Vladimir Lebedinskii, Vladimir Konstantinovich Lebedinyi Lebenshorn Lebensraum Leberekht, Gans Leberekht, Gans Fridrikhovich Lebesgue exterior measure Lebesgue Integrable Function Lebesgue integral Lebesgue interior measure Lebesgue measure Lebesgue number Lebesgue's dominated convergence theorem Lebesgue, Henri Lebesgue-Stieltjes integral Lebiazhe Leblanc Leblanc, Nicolas Lebon, Philippe Lebonah Lebowa Lebrun Lebrun, Albert Lebrun, Charles François Lebrun, Élisabeth Vigée- Lebrun, Ponce-Denis Ecouchard Lebrun, Ponce-Denis Écouchard Lebrun, Rico Lebsko LEC Lec, Stanislaw Jerzy LECA Lecanicephaloidea Lecanoraceae Lecanorales Lecce Lech lechatelierite			Leber's Idiopathic Stellate Neuroretinitis Leber's optic atrophy Leber's optic atrophy Leber's optic atrophy Leber's optic atrophy Leber's optic neuropathy Leber's optic neuropathy Leber's optic neuropathy Leber's plexus Leber-Käs-Weckle Leberekht, Gans Leberekht, Gans Fridrikhovich Leberwurst Lebes Lebesgue Lebesgue dominated convergence theorem Lebesgue exterior measure Lebesgue Integrable Function Lebesgue integral Lebesgue integration Lebesgue interior measure Lebesgue measurable Lebesgue measurable function Lebesgue measurable set Lebesgue measure Lebesgue null Lebesgue null set Lebesgue null set Lebesgue number Lebesgue outer measure Lebesgue's dominated convergence theorem Lebesgue's monotone convergence theorem Lebesgue, Henri Lebesgue-measurable Lebesgue-measurable function Lebesgue-Stieltjes integral Lebesgue-Stieltjes integration LEBG Lebiazhe Lebistes Lebistes reticulatus LEBIT lebkuchen LEBL Leblanc Leblanc Leblanc's process Leblanc, Nicolas Leblanc, Nicolas Leblanc-Deacon process LEBM LEBMF Lebnen Lebnen LEBNET LEBNJ LEBNS LeBoeuf, Lamb, Greene & MacRae

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dominated convergence theorem (redirected from Lebesgue's dominated convergence theorem)

dominated convergence theorem
(redirected from Lebesgue's dominated convergence theorem)