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http://hdl.handle.net/11701/8807
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Поле DC | Значение | Язык |
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dc.contributor.author | Shabozova, Adolat A. | - |
dc.date.accessioned | 2017-12-27T14:16:19Z | - |
dc.date.available | 2017-12-27T14:16:19Z | - |
dc.date.issued | 2017-12 | - |
dc.identifier.citation | Shabozova A.A. Approximation of curves by broken lines in Lp. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 4, pp. 622–630. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2017.410 | - |
dc.identifier.uri | http://hdl.handle.net/11701/8807 | - |
dc.description.abstract | In this paper was found the exact values of upper bounds deviation in Lp[0,L] (1 6 p < ∞) metrics of curve , defined by parametric equations in n-dimensional space of inscribed in its at the points tk = kL/N, k = 0,N a broken line on the H!1,...,!m class given both as an arbitrary or convex modulus of continuity !i(t), i = 1,m. The problem of finding the upper bounds of deviation of parametric given curves ,G ∈ H!1,!2,...,!m coordinate functions 'i(t) and i(t) (i = 1,m) of which respectively belong to the class H!i [0,L] (i = 1,m) intersect in N (N ≥ 2) points of the partition to the segment [0,L]. The obtained results are generalizations of the result of V. F. Storchai on the approximation of continuous functions by interpolation polygonal lines in the metric of the space Lp[0,L] (1 ≤ p ≤ ∞). Refs 16. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4(62); Issue 4 | - |
dc.subject | extreme problems | en_GB |
dc.subject | approximation theory | en_GB |
dc.subject | parametrically defined curves | en_GB |
dc.subject | interpolation polygonal lines | en_GB |
dc.subject | modulus of continuity | en_GB |
dc.subject | convex moduli of continuity | en_GB |
dc.title | Approximation of curves by broken lines in Lp | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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Файл | Описание | Размер | Формат | |
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10-Shabozova.pdf | 254,33 kB | Adobe PDF | Просмотреть/Открыть |
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