How to solve the following:
Operator $A_n: C[0,1]\rightarrow C[0,1]$ is given with $A_n(f)=\sum_{k=0}^{n} f(\frac{k}{n})\binom{n}{k}x^k(1-x)^{n-k}$. Does $A_n$ converges uniformly, strong and weak, when $n\rightarrow\infty$?
Thanks in advance.
2026-04-22 21:40:45.1776894045
Operator convergence
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