... 2.2. ... 2 g g 5) f = lim fn . ... A , - A A A µ(A) = sup{µ(K ) : K A, K K }. ... fnk }, fnk - f - k . ... Ek = {x : |fNk (x) - fNk+1 (x)| 2k }. ... I. II. f (x) = lim fNk (x) / x M . ... g dµ sup fn dµ, n g = lim gn µ-, fn dµ. , g (x) = f (x) . ... R(a, b), lim = f (x) · (R) n n b- a+ 1 n 1 n 1 1 [a+ n ,b- n ] fn dx = (L) 1 n fn f x (a, b). sup |fn | ... n0 > N |fn0 - fnk | ... 19 3.3.2. p 1 1 3.13 ( (HЁlder)). p > 1 q , p + q = 1, .. q = p-1 . ... n0 > N |fn0 - fnk |p - |fn0 - f |p , - fn0 - f p ....
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Ссылки http://www.dmvn.mexmat.net/content/rcalculus/real.calculus-4s-bogachev.pdf -- 429.1 Кб -- 04.05.2012 Похожие документы