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bounded

[boun-did]
adjective
  1. having bounds or limits.
  2. Mathematics.
    1. (of a function) having a range with an upper bound and a lower bound.
    2. (of a sequence) having the absolute value of each term less than or equal to some specified positive number.
    3. (of the variation of a function) having the variation less than a positive number.

Origin of bounded

First recorded in 1590–1600; bound3 + -ed2
Related formsbound·ed·ly, adverbbound·ed·ness, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
British Dictionary definitions for boundedness

bounded

adjective maths
  1. (of a set) having a bound, esp where a measure is defined in terms of which all the elements of the set, or the differences between all pairs of members, are less than some value, or else all its members lie within some other well-defined set
  2. (of an operator, function, etc) having a bounded set of values
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012