Fatou's Lemma and Lebesgue's convergence theorem for measures
نویسندگان
چکیده
منابع مشابه
Fatou's Lemma and the Lebesgue's Convergence Theorem
For simplicity, we adopt the following rules: X denotes a non empty set, F denotes a sequence of partial functions from X into R with the same dom, s1, s2, s3 denote sequences of extended reals, x denotes an element of X, a, r denote extended real numbers, and n, m, k denote natural numbers. We now state several propositions: (1) If for every natural number n holds s2(n) ≤ s3(n), then inf rng s...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2000
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953300000150