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equibounded. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Etymology
From equi- + bounded.
Adjective
equibounded (not comparable)
- (mathematics, of a family of functions) 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.
1994, Stability & Applied Analysis of Continuous Media, volume 3, page 277:The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.
2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8: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.
Derived terms