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Definition of Bounded interval
1. Noun. An interval that includes its endpoints.
Lexicographical Neighbors of Bounded Interval
Literary usage of Bounded interval
Below you will find example usage of this term as found in modern and/or classical literature:
1. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2000)
"Theorem 5.46 If a function f is uniformly continuous on a bounded interval I,
then f is bounded on I. Proof Here we suppose that / is one of (a, b), [a, b], ..."
2. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"1:2.8 Show that if a function / : IR —> IR is continuous, then it is uniformly
continuous on every closed bounded interval. ..."
3. Mathematical Statistics and Applications: Festschrift for Constance Van Eeden by Constance van Eeden, Marc Moore, Sorana Froda, Christian Léger (2003)
"... strictly decreasing on a possibly unbounded interval; and (iii) both symmetric
and unimodal on the reals. 3.1. Uniform density on a bounded interval ..."
4. Higher Order Asymptotics by Jayanta K. Ghosh (1994)
"It turns out that a Pn version exists if TT(6) is supported on a bounded interval
and has smooth contacts at both endpoints, that is, 7r(0) and (d,ir(6))/de ..."