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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 842–858
(Mi smj899)
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This article is cited in 4 scientific papers (total in 4 papers)
An estimate for the least uniform deviation from the class of functions with bounded second derivative
A. V. Mironenko Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
We consider the problem of uniform approximation of a continuous function on an interval by means of the class of functions with bounded second derivative. We prove an estimate for the least uniform deviation of a function in terms of its local deviations on uniform and nonuniform three-point grids.
Keywords:
uniform approximation, bounded second derivative.
Received: 13.01.2005
Citation:
A. V. Mironenko, “An estimate for the least uniform deviation from the class of functions with bounded second derivative”, Sibirsk. Mat. Zh., 47:4 (2006), 842–858; Siberian Math. J., 47:4 (2006), 696–709
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https://www.mathnet.ru/eng/smj899 https://www.mathnet.ru/eng/smj/v47/i4/p842
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Abstract page: | 237 | Full-text PDF : | 78 | References: | 40 |
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