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M-Cantorvals of Ferens type

In: Mathematica Slovaca, vol. 67, no. 4
Michał Banakiewicz - Franciszek Prus-Wiśniowski
Detaily:
Rok, strany: 2017, 907 - 918
Kľúčové slová:
subsums, absolutely convergent series, M-Cantorval, Cantor set
O článku:
A special family of multigeometric series is considered from the point of view of behaviour of their sets of subsums. A sufficient condition for their sets of subsums to be M-Cantorvals is proven. The Lebesgue measure of those special M-Cantorvals is computed and it is shown to be equal to the sum of lengths of all component intervals of the M-Cantorvals. A new sufficient condition for the set of subsums of a series to be a Cantor set is formulated and it is used to demonstrate that the discussed multigeometric series always have Cantor sets as their sets of subsums for sufficiently small ratios of the series.
Ako citovať:
ISO 690:
Banakiewicz, M., Prus-Wiśniowski, F. 2017. M-Cantorvals of Ferens type. In Mathematica Slovaca, vol. 67, no.4, pp. 907-918. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0019

APA:
Banakiewicz, M., Prus-Wiśniowski, F. (2017). M-Cantorvals of Ferens type. Mathematica Slovaca, 67(4), 907-918. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0019
O vydaní:
Publikované: 28. 8. 2017