We found the optimal linear information and the optimal method of its use to renewal the bilinear functionals on sets which are defined by unbounded operators.
We found the optimal linear information and the optimal method of its use to renew the n-linear functionals on sets which are defined by unbounded operators.
УДК 517.5
На класi елементiв гiльбертового простору, який визначається, як образ одиничної кулi при дiї компактного оператора, розв’язано задачi оптимального вiдновлення за вiдомими з похибкою першими n коефiцiєнтами Фур’є елементiв класу. Аналогiчнi задачi розв’язано для скалярних добуткiв елементiв iз двох рiзних класiв.
We found the optimal linear information and the optimal method of its use to recovery of the convolution of n functions on some classes of 2π -periodic functions.
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