Quartic Spline interpolation on Uniform Meshes with Application to Quadratures
Received:November 23, 1997  
Key Words: interpolation   quartic spline   quadrature formula  
Fund Project:
Author NameAffiliation
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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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1999.03.010
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