Combination Theorem for Continuous Functions/Product Rule
< Combination Theorem for Continuous Functions(Redirected from Product Rule for Continuous Functions)
Jump to navigation
Jump to search
Theorem
Real Functions
Let $f$ and $g$ be real functions which are continuous on an open subset $S \subseteq \R$.
- $f g$ is continuous on $S$
Complex Functions
Let $f$ and $g$ be complex functions which are continuous on an open subset $S \subseteq \C$.
- $f g$ is continuous on $S$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): continuous function (continuous mapping)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): continuous function (continuous mapping, continuous map)