2. Let X C[a, b] be the space of all real-valued continuous functions on [a, b]. For arbitrary ƒ € X, define a map by ||

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2 Let X C A B Be The Space Of All Real Valued Continuous Functions On A B For Arbitrary F X Define A Map By 1 (37.72 KiB) Viewed 38 times

2. Let X C[a, b] be the space of all real-valued continuous functions on [a, b]. For arbitrary ƒ € X, define a map by ||· ||2 : C[a, b] → R by ||$||2 = ( [~*\/S (t)|²dt) ³. Prove that the map ||· ||2 is a norm on C[a, b].