On sequences preserving summability
Classical Analysis and ODEs
2025-06-13 v1 Analysis of PDEs
Complex Variables
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.
Cite
@article{arxiv.2501.06495,
title = {On sequences preserving summability},
author = {Sławomir Michalik and Maria Suwińska and Bożena Tkacz},
journal= {arXiv preprint arXiv:2501.06495},
year = {2025}
}
Comments
25 pages