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  • 标题:Interpolation Splines Minimizing Semi-Norm in K2(P2) Space
  • 本地全文:下载
  • 作者:Kholmat M. Shadimetov ; Abdullo R. Hayotov ; Azamov S. Siroj
  • 期刊名称:American Journal of Numerical Analysis
  • 印刷版ISSN:2372-2118
  • 电子版ISSN:2372-2126
  • 出版年度:2014
  • 卷号:2
  • 期号:4
  • 页码:107-114
  • DOI:10.12691/ajna-2-4-3
  • 语种:English
  • 出版社:Science and Education Publishing
  • 摘要:In the present paper using S.L. Sobolev’s method interpolation splines minimizing the semi-norm in K2(P2) space are constructed. Explicit formulas for coefficients of interpolation splines are obtained. The obtained interpolation spline is exact for the functions and . Also we give some numerical results where we showed connection between optimal quadrature formula and obtained interpolation spline in the space K2(P2).
  • 关键词:interpolation spline; Hilbert space; the norm minimizing property; S.L. Sobolev’s method; discrete argument function
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