A. Goswami

activity

20192025

most citedOn approximately monotone and approximately Hölder functions

3 citations · 3 across the 10 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.CA2020

On approximately convex and affine functions

Angshuman R. Goswami, Zsolt Páles

A real valued function $f$ defined on a real open interval $I$ is called $Φ$ -convex if, for all $x, y \in I$ , $t \in [0, 1]$ 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 $f$ defined on a real open interval $I$ is called $Φ$ -monotone if, for all $x, y \in I$ with $x \leq y$ it satisfies $f (x) \leq f (y) + Φ (y - x),$ where $Φ:[0,\el…