Bounded Continuity

Bounded continuity is a concept from mathematics, particularly in analysis, which refers to functions that do not just change smoothly, but also stay within a fixed range over a certain interval. In simpler terms, a function is said to be boundedly continuous if, as you make small changes in the input, the output changes only within a limited scope. This means that the function won’t have sudden jumps or go off to infinity; instead, it continues smoothly and remains predictable within set limits. This property is important in various mathematical applications and ensures stability in behavior.