A monotone increasing function 
on an interval 
is a nondecreasing function
and satisfies
 |
for all 
with 
. Equality is allowed.
A strictly increasing function instead
requires 
for all such pairs.
Monotone Increasing
See also
Monotone Decreasing, Monotonic Function, Nondecreasing Function, Strictly Increasing FunctionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Monotone Increasing." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MonotoneIncreasing.html