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Abstract
It is shown that continuous 2π-periodical function is uniquely recovered (on the whole real line) by its sequences of Fejer sums at the given finite set of points if and only if there exist two of these points with the distance between them incommensurable with π. And that full sets of Fejer integrals at any two different points always uniquely recover continuous absolutely Lebesgue integrable on the real line
function.
Wherein known sequence of Fejer sums at a single point neither full set of Fejer integrals at a single point could ever recover uniquely any of these continuous functions.
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