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- W2949461716 abstract "Let $X_{1},...,X_{n}$ be compact spaces and $X=X_{1}times ... times X_{n}.$ Consider the approximation of a function $fin C(X)$ by sums $g_{1}(x_{1})+... g_{n}(x_{n}),$ where $g_{i}in C(X_{i}),$ $i=1,...,n.$ In [8], M.Golomb obtained a formula for the error of this approximation in terms of measures constructed on special points of $X$, called projection cycles. However, his proof had a gap, which was pointed out by Marshall and O'Farrell [15]. But the question if the formula was correct, remained open. The purpose of the paper is to prove that Golomb's formula holds in a stronger form." @default.
- W2949461716 created "2019-06-27" @default.
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- W2949461716 date "2007-08-26" @default.
- W2949461716 modified "2023-09-27" @default.
- W2949461716 title "On the theorem of M.Golomb" @default.
- W2949461716 hasPublicationYear "2007" @default.
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