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Chapter 3. Absolutely Continuous Functions 1. Absolutely ...
Clearly, an absolutely continuous function on [a,b] is uniformly continuous. Moreover, a Lipschitz continuous function on [a,b] is absolutely continuous. Let f and g be two absolutely continuous functions on [a,b]. Then f+g, f−g, and fg are absolutely continuous on [a,b]. If, in addition, there exists a constant C > 0 such that |g(x)| ≥ C ...
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