Nonincreasing Function

A function f(x) is said to be nonincreasing on an interval I if f(b)<=f(a) for all b>a, where a,b in I. Conversely, a function f(x) is said to be nondecreasing on an interval I if f(b)>=f(a) for all b>a with a,b in I.

See also

Increasing Function, Monotone Decreasing, Monotone Increasing, Nondecreasing Function

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Jeffreys, H. and Jeffreys, B. S. "Increasing and Decreasing Functions." §1.065 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, p. 22, 1988.

Referenced on Wolfram|Alpha

Nonincreasing Function

Cite this as:

Weisstein, Eric W. "Nonincreasing Function." From MathWorld--A Wolfram Web Resource.

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