On Sequences Preserving Summability
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.
Authors
- Maria Suwińska (ORCID: https://orcid.org/0000-0002-4493-6519)
- Sławomir Michalik (ORCID: https://orcid.org/0000-0003-4045-9548)
- Bożena Tkacz (ORCID: https://orcid.org/0000-0002-0099-0871)
Institutions
- Cardinal Stefan Wyszynski University in Warsaw (PL)
Publication Details
- Journal
- Results in Mathematics
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1007/s00025-025-02435-0
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00