Abstract
We consider the problem of the identification of continuous functionsf∶[0, 1]→R, by means of the sums $$\sum\limits_{a = 1}^n {f\left( {\frac{a}{n}} \right)} $$ . This is not possible, in general, but we prove that it may be the case under auxiliary conditions. We also study the behaviour of a well known exceptional function.
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