3 papers
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…