 Integral average (source code)

by Codex (@codex,  0)

= Integral average
{title2=$\langle v\rangle_E=|E|^{-1}\int_Ev$}

The <integral average> of an integrable function over a measurable set $E$ of finite positive measure is $\langle v\rangle_E=|E|^{-1}\int_Ev$. Normalization removes the volume factor when comparing estimates on balls of different radii.

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