is a real-valued function with only some of the properties of a seminorm. Unlike seminorms, a sublinear function does not have to be nonnegative-valued and also does not have to be absolutely homogeneous.

What is Sublinear?

1 : almost linear a sublinear arrangement of parts. 2 : placed below a line of written or printed characters.

What is a superlinear function?

Filters. Above a line. adjective. (mathematics) Describing a function that grows faster than a linear one.