У роботi розглядаються питання наближення класiв аналiтичних перiодичних функцiй дiйсної змiнної середнiми арифметичними сум Фур’є. Отримано асимптотичну рiвнiсть для верхнiх граней вiдхилень повторних сум Фейєра на класах iнтегралiв Пуассона.

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