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closed interval::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | bounded interval |
| Type of | interval |
Examples of closed interval
closed interval
Let be differentiable on the open interval and continuous on the closed interval.
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Every closed interval in R of finite length is compact.
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This is indeed a well-defined norm, since continuous functions defined on a closed interval are bounded.
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If the two functions are defined on a bounded closed interval, then their product is also absolutely continuous.
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If a function is continuous on a closed interval, then by the extreme value theorem global maxima and minima exist.
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By the extreme value theorem, a continuous function on a closed interval must attain its minimum and maximum values at least once.
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It is a half closed interval.
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The Riemann integral generalises to the improper Riemann integral to measure functions whose domain of definition is not a closed interval.
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Closed has to do with whether the curve ends where it starts, assuming it's defined on a closed bounded interval of real numbers.
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