A. A. Karaballi,S. Sallam.一致网格上二次样条插值及其在积分中的应用(英)[J].数学研究及应用,1999,19(3):533~538
一致网格上二次样条插值及其在积分中的应用(英)
Quartic Spline interpolation on Uniform Meshes with Application to Quadratures
投稿时间:1997-11-23  
DOI:10.3770/j.issn:1000-341X.1999.03.010
中文关键词:  
英文关键词:interpolation  quartic spline  quadrature formula
基金项目:
作者单位
A. A. Karaballi Dept. of Math. and Comp Sci.
Kuwait University
P.O.Box 5969
Safat
13060 Kuwait 
S. Sallam Dept. of Math. and Comp Sci.
Kuwait University
P.O.Box 5969
Safat
13060 Kuwait 
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中文摘要:
      
英文摘要:
      In this paper an error estimate is derived, if λ∈[0, 1], for tile lacunaryquartic C2-spline interpolant which interpolates the first derivative of a given smooth function at the mesh points and as well as its second derivative at an arbitrary interior point between consecutive knots, if the mesh is uniform. Moreover, all application to quadratures is also presented.
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