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《NORTHEASTERN MATHEMATICAL JOURNAL》 1994-01
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The Comparison Theorems of Kolmogorov Type on a Convolution Class of Functions

Chen Dirong (Department of Mathematics, Beijing Normal University, Beijing.100875)  
Let G be a Polya frequency density. Set S= {G * h|||h}}∞≤ }.Some properties of the standard function of S are proved.The comparison theorem of Kolmogorov is established. An applicationof the comparison theorem is given to the problem of optimal recovery of differential operator onS,γ0.
【CateGory Index】: O174.23
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