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Convergence of the C^{1} Lagrange Polynomial Spline Interpolation
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Abstract
For a smooth function defined in the unit interval, a convergence analysis of its C^{1} Lagrange polynomial spline interpolation is provided with some numerical evidences. The C^{1} Lagrange polynomial splines employed in this paper is defined with Legendre-Gauss points in uniform subintervals of [0,1].
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