Question: True or false: The average or mean of a function on the interval [a, b] defines a linear operator A : C0[a, b] R. S(x)

True or false: The average or mean
S(x) dx A[f] =

of a function on the interval [a, b] defines a linear operator A : C0[a, b] †’ R.

S(x) dx A[f] =

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