Gassiat, Elisabeth Problème sommatoire par maximum d’entropie. (Summation problem by maximum entropy). (French) Zbl 0611.60032 C. R. Acad. Sci., Paris, Sér. I 303, 675-680 (1986). 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. Cited in 1 Document MSC: 60F99 Limit theorems in probability theory Keywords:maximum entropy; summation method of Fourier series; speed of convergence; linear combinations of Dirac masses × Cite Format Result Cite Review PDF