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Lebesgue Integral Triangle Inequality

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Theorem
MeasureTheory

If fL1(X,M,μ)f\in\mathscr{L}^{1}(X,\mathscr{M},\mu) then XfdμXfdμ\left|\int\limits _{X}f \, d\mu \right|\le \int\limits _{X}|f| \, d\mu

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