Riemann Rearrangement Theorem for some types of convergence
نویسندگان
چکیده
منابع مشابه
Summable series and the Riemann rearrangement theorem
Let N be the set of positive integers. A function from N to a set is called a sequence. If X is a topological space and x ∈ X, a sequence a : N → X is said to converge to x if for every open neighborhood U of x there is some NU such that n ≥ NU implies that an ∈ U . If there is no x ∈ X for which a converges to x, we say that a diverges. Let a : N→ R. We define s(a) : N→ R by sn(a) = ∑n k=1 ak....
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.08.007