On Log-Concave Operator Acting on Sequences and Series
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910885376688128 |
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| author | Giacomelli, Piero |
| author_facet | Giacomelli, Piero |
| contents | In this paper, we investigate the properties of sequences and series under the action of the log-concave operator \(\mathcal{L}\). We explore the relationship between the convergence of a sequence \((a_k)\) and the convergence of sequences and series derived by applying \(\mathcal{L}\) iteratively. These results demonstrate the strong regularity properties of log-concave sequences and provide a framework for analyzing the convergence of sequences and series derived from the log-concave operator. The findings have implications for combinatorics, probability, optimization, and related fields, opening new avenues for further research on the behavior of log-concave sequences and their associated operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15425 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Log-Concave Operator Acting on Sequences and Series Giacomelli, Piero Combinatorics Number Theory In this paper, we investigate the properties of sequences and series under the action of the log-concave operator \(\mathcal{L}\). We explore the relationship between the convergence of a sequence \((a_k)\) and the convergence of sequences and series derived by applying \(\mathcal{L}\) iteratively. These results demonstrate the strong regularity properties of log-concave sequences and provide a framework for analyzing the convergence of sequences and series derived from the log-concave operator. The findings have implications for combinatorics, probability, optimization, and related fields, opening new avenues for further research on the behavior of log-concave sequences and their associated operators. |
| title | On Log-Concave Operator Acting on Sequences and Series |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2503.15425 |