Uniform convergence
- Tolaso J Kos
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Uniform convergence
Let \( f_n \) be a sequence of continuous functions on an interval \( [a, b] \). Suppose that for any \( x \in [a, b] \) \( f_n (x) \) is non increasing . Show that if \( f_n \) converges point to point to the zero function then \( f_n \) converges uniformly to the zero function on \( [a, b] \).
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