24 A step function is, by definition, a finite linear combination of characteristic functions of bounded intervals in R'. Assume fe L'(R'), and prove that there is a sequence {g,} of step functions so...

24 A step function is, by definition, a finite linear combination of characteristic functions of bounded<br>intervals in R'. Assume fe L'(R'), and prove that there is a sequence {g,} of step functions so that<br>lim<br>If(x)-g,(x)|<br>dx = 0.<br>tc ent hat<br>

Extracted text: 24 A step function is, by definition, a finite linear combination of characteristic functions of bounded intervals in R'. Assume fe L'(R'), and prove that there is a sequence {g,} of step functions so that lim If(x)-g,(x)| dx = 0. tc ent hat

Jun 04, 2022

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24 A step function is, by definition, a finite linear combination of characteristic functions of bounded intervals in R'. Assume fe L'(R'), and prove that there is a sequence {g,} of step functions so...

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