monotonically decreasing


Similarly, a real function f(x) is monotonically decreasing if


Compare this to monotonically nonincreasing.

Conflict note. In other context, such as [1], this is called strictly decreasing. When this is the case, “monotonically nonincreasing” is instead called “monotonically decreasing.”


  • 1 decreasing,” from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.
Title monotonically decreasing
Canonical name MonotonicallyDecreasing
Date of creation 2013-03-22 12:22:30
Last modified on 2013-03-22 12:22:30
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 8
Author akrowne (2)
Entry type Definition
Classification msc 40-00
Synonym monotone decreasing
Synonym strictly decreasing
Related topic MonotonicallyIncreasing