title: Approximation of curves by broken lines in Lp
metadata.name: dc.contributor.author
metadata.value: Shabozova, Adolat A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-12-27T14:16:19Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-12-27T14:16:19Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.410
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8807
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4(62); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: extreme problems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximation theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parametrically defined curves
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interpolation polygonal lines
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: modulus of continuity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: convex moduli of continuity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Approximation of curves by broken lines in Lp
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Shabozova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8807/1/10-Shabozova.pdf
resources.format: Adobe PDF
resources.size: 254,33 kB