monotonically increasing

A sequence (sn), sn is called monotonically increasing if


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


Compare this to monotonically nondecreasing.

Conflict note. This condition is also sometimes called strictly increasing [1]. In such a context, “monotonically increasing” has the same meaning as monotonically nondecreasing.


  • 1 increasing,” from the NIST Dictionary of Algorithms and Data Structures, Paul E. Black, ed.
Title monotonically increasing
Canonical name MonotonicallyIncreasing
Date of creation 2013-03-22 12:22:35
Last modified on 2013-03-22 12:22:35
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 10
Author akrowne (2)
Entry type Definition
Classification msc 40-00
Synonym monotone increasing
Synonym strictly increasing
Related topic MonotonicallyDecreasing