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Generalized Cantor sets and sets of sums of convergent alternating series

Dindoš M.

Journal of Applied Analysis

2001

Vol. 7, nr 1

131-150

We give a complete characterization of sets of sums of absolutely convergent series with alternating signs. This result finishes works of various authors [3], [4]-[8] who studied this problem. As we will see, the studied sets are exactly sets that can be obtained by generalizing the construction of the Cantor set.