Noun:

બંધ અંતરાલ,

closed interval's Usage Examples:

It may be a singleton set {c}, or another closed interval [a, b].

Examples include a closed interval, a rectangle, or a finite set of points.

If f is a continuous function on a closed interval, or more generally a compact set, then it is bounded and the supremum.

Integral form of the remainder — Let f(k) be absolutely continuous on the closed interval between a and x.

false if the sectional curvatures are allowed to take values in the closed interval [ 1 , 4 ] {\displaystyle [1,4]} .

continuous on the closed interval [a,x].

rationals contained in the half-closed intervals [0,1) and (0,1], and the closed interval [0,1], are three additional order type examples.

Any degenerate closed interval (meaning an interval of the form [x, x] \{ x \}, which consists of only a single point) is a closed subset of \R but a regular closed subset because its interior is the empty set \varnothing so that\overline{\operatorname{Int} \{ x \}} \overline{\varnothing} \varnothing \neq \{ x \}.

If a function is continuous on a closed interval, then by the extreme value theorem, global maxima and minima exist.

If a real-valued function f is continuous on a proper closed interval [a, b], differentiable on the open interval (a, b), and f (a) f (b).

The closed interval [0,1] has the fixed point property: Let f: [0,1] → [0,1] be a continuous.

Take the cartesian product of X with a closed interval I, and glue the boundary components together by the static homeomorphism:.

A closed interval is an interval which includes all its limit points, and is denoted.

Synonyms:

interval, bounded interval,

Antonyms:

open interval, closed interval,