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Problème sommatoire par maximum d’entropie. (Summation problem by maximum entropy). (French) Zbl 0611.60032

We introduce a summation method of Fourier series for probability measures with compact support by ”maximum entropy”. We study the efficiency of this method: type and speed of convergence, comparison with other usual linear methods (Dirichlet and Fejer kernel). We especially deal with measures similar to finite linear combinations of Dirac masses.

MSC:

60F99 Limit theorems in probability theory