Document Type
Article
Publication Title
Open Mathematics
Abstract
The set of subsums of the series Σn=1∞ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval. Bartoszewicz, Filipczak and Szymonik have described a family of series which contained all known examples of subsum sets which are Cantorvals. We construct another family of series which produces new examples of subsum sets which are Cantorvals.
First Page
1468
Last Page
1475
DOI
10.1515/math-2019-0109
Publication Date
1-1-2019
Recommended Citation
Ferdinands, John and Ferdinands, Timothy, "A family of Cantorvals" (2019). University Faculty Publications and Creative Works. 118.
https://digitalcommons.calvin.edu/calvin_facultypubs/118