D. Karvatskyi

activity

20232026

most citedThe achievement set of generalized multigeometric sequences

2 citations · 2 across the 7 of their papers we have counts for

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math.CA2023★ 2 cited

The achievement set of generalized multigeometric sequences

Dmytro Karvatskyi, Aniceto Murillo, Antonio Viruel

We study the topology of all possible subsums of the generalized multigeometric series $k_{1} f (x) + k_{2} f (x) + \dots + k_{m} f (x) + \dots + k_{1} f (x^{n}) + \dots + k_{m} f (x^{n}) + \dots,$ where $k_1, k_2, \do…

math.NT2023

Cantorvals as sets of subsums for a series connected with trigonometric functions

Mykola Pratsiovytyi, Dmytro Karvatskyi

We study properties of the set of subsums for a convergent series $k_{1} sin x + \dots + k_{m} sin x + \dots + k_{1} sin x^{n} + \dots + k_{m} sin x^{n} + \dots$ , where $k_1, k_2, k_3,\dots…