Definition:Space of Continuous on Closed Interval Real-Valued Functions

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Definition

Let $f : \closedint a b \to \R$ be a continuous real valued function.


Then the set of all such mappings $f$ is known as continuous on closed interval real-valued function space and is denoted by $\CC \closedint a b$:

$\CC \closedint a b := \CC \paren {\closedint a b, \R} = \set {f : \closedint a b \to \R}$

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