Abstract
Let (an) be a sequence of positive real numbers monotonically convergent to 0 for which ∑an diverges and let E be the set of sign distributions. We call
the set of E-sums for the sequence (an). In this paper we study topological properties of sets S(EUSA, an) and S(EBSA, an), where EUSA is the set of all uniform segmentally alternating sign distributions and EBSA is the family of all bounded segmentally alternating sign distributions.
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I would like to thank the anonymous referees for carefully reading the paper and making useful suggestions.
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Banakiewicz, M. Sets of Sums of a Series Depending on Sign Distributions. Anal Math 45, 475–490 (2019). https://doi.org/10.1007/s10476-019-0970-5
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DOI: https://doi.org/10.1007/s10476-019-0970-5