Cantorvals as sets of subsums for a series connected with trigonometric functions
We study properties of the set of subsums for convergent series k1 sin x + ... + km sin x + ... + k1 sin x[(n-1)/m+1] + ... + km sin x[(n-1)/m+1] + ... where k1, k2, k3, ..., km are fixed positive integers and 0<x<1. It is proved that depending on the parameter x this set can be a finite union...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Odesa National University of Technology
2023-12-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2519 |