2 papers
math.GM2025
On Characterizations of Convex and Approximately Subadditive Sequences
Angshuman Robin Goswami
A sequence is said to be convex if it satisfies the following inequality $$ 2u_n\leq u_{n-1}+u_{n+1}\qquad \mbox{for all}\qquad n\in\mathbb{N}. $$ We…
math.CA2024
Revisiting Fekete's Lemma, Subadditive and Periodic Sequences
Angshuman R. Goswami
In this paper, we present an alternative proof of Fekete's Lemma. We demonstrate that for any subadditive sequence, it is possible to construct a subadditive function that exactly…