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Let E=[0,1]. If {h_n} is a sequence of nonnegative integrable functions on E such that {h_n}?0 almost everywhere on E, then lim n???_E h_n=0 if
Let E=[0,1]. If {h_n} is a sequence of nonnegative integrable functions on E such that {h_n}?0 almost everywhere on E, then lim n???_E h_n=0 if and only if {h_n} is uniformly integrable on E. 2 answers
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
