Integral Convergence Related to Weak Convergence of Measures
نویسندگان
چکیده
We consider probability measures µ n , µ on a metric space X such that µ n weakly converges to µ. The following convergence lim n→∞ X f n (x)µ n (dx) = X f (x)µ(dx) is proved under some restrictions on real valued functions f n and f which are measurable, not necessarily continuous nor bounded.
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