Definition of Bounded interval

1. Noun. An interval that includes its endpoints.

Exact synonyms: Closed Interval
Generic synonyms: Interval
Antonyms: Open Interval

Lexicographical Neighbors of Bounded Interval

boundaries
boundariless
boundary
boundary-rider
boundary condition
boundary layer
boundary line
boundary rider
boundary riders
boundary umpire
boundary umpires
boundaryless
bounded
bounded function
bounded interval (current term)
boundedly
boundedness
boundednesses
bounden
bounder
bounderish
bounders
boundest
boundeth
bounding
boundingly
boundings
boundless
boundlessly

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 ..."

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