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On the order of an approximation of functions on sets of positive measure by linear positive polynomial operators
R. K. Vasil'ev First Moscow Institute of Medicine
Abstract:
It is proved that at almost all points the order of approximation, even of one of the functions 1, $\cos x$, $\sin x$ by means of a sequence of linear positive polynomial operators having uniformly bounded norms, is not higher than $1/n^2$. Refinements of this result are given for operators of convolution type.
Received: 30.12.1971
Citation:
R. K. Vasil'ev, “On the order of an approximation of functions on sets of positive measure by linear positive polynomial operators”, Mat. Zametki, 13:3 (1973), 457–468; Math. Notes, 13:3 (1973), 274–280
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https://www.mathnet.ru/eng/mzm7144 https://www.mathnet.ru/eng/mzm/v13/i3/p457
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Abstract page: | 138 | Full-text PDF : | 63 | First page: | 1 |
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