equibounded

E1Q10U1I1B3O1U1N1D2E1D2

adjective

Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X.

Scrabble 24
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

adjectiveequibounded (not comparable)
  1. not comparablemathematicsHaving the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X.

    The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.

    1994, Stability & Applied Analysis of Continuous Media, volume 3, page 277
    1 more example

    An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.

    2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8

Origin

From equi- + bounded.

Full word history & related roots →
Cite this entry
APA

equibounded. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/equibounded

MLA

“equibounded.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/equibounded. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “equibounded,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/equibounded.

Source: equibounded on Wiktionary, CC BY-SA 4.0.