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University proceedings. Volga region. Physical and mathematical sciences, 2013, Issue 1, Pages 61–81
(Mi ivpnz431)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
Diameters of Sobolev class functions with boundary peculiarities
I. V. Boykov, A. N. Tynda Penza State University, Penza
Abstract:
The article estimates the diameters of Kolmogorov and Babenko class functions which have the solutions of Volterra integral functions with singular kernels. A distinctive feature of these classes is an unlimited growth of function derivative modules when approaching a definitial domain boundary. For these function classes the authors have built local splines being optimal order algorithms of approximation.
Keywords:
Sobolev space, optimal algorithms, Babenko and Kolmogorov diameters, local splines.
Citation:
I. V. Boykov, A. N. Tynda, “Diameters of Sobolev class functions with boundary peculiarities”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 1, 61–81
Linking options:
https://www.mathnet.ru/eng/ivpnz431 https://www.mathnet.ru/eng/ivpnz/y2013/i1/p61
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Abstract page: | 29 | Full-text PDF : | 8 | References: | 7 |
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