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arXiv · 2501.06495

On sequences preserving summability

Sławomir Michalik·Maria Suwińska·Bożena Tkacz
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Abstract

In this paper, we study sequences of positive numbers preserving summability. In particular, the open set property for such a family of sequences is shown. Several classes of sequences preserving summability, including polynomials, sums of powers, and solutions of some difference equations, are introduced.

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Sławomir Michalik, Maria Suwińska, Bożena Tkacz. 2025-01-11. On sequences preserving summability. https://doi.org/10.1007/s00025-025-02435-0

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