The Achievement Set of Generalized Multigeometric Sequences
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Abstract
We study the topology of all possible subsums of the generalized multigeometric series where are fixed positive real numbers and f runs along a certain class of non-negative functions on the unit interval. We detect particular regions of this interval for which this achievement set is, respectively, a compact interval, a Cantor set and a Cantorval.
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Karvatskyi, D., Murillo, A. & Viruel, A. The Achievement Set of Generalized Multigeometric Sequences. Results Math 79, 132 (2024). https://doi.org/10.1007/s00025-024-02158-8
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Except where otherwised noted, this item's license is described as Atribución 4.0 Internacional