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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…
math.CA2020
On approximately convex and affine functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -convex if, for all , it satisfies $$ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)+tΦ\big((1-t…
math.CA2020
Characterization of approximately monotone and approximately Hölder functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -monotone if, for all with it satisfies where $Φ:[0,\el…
math.CA2019
On approximately monotone and approximately Hölder functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -monotone if, for all with it satisfies where $Φ:[0,\el…