Discrete Cubic \mathfrak{X}-Splines

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  • Discrete Cubic $\mathscr X$-Splines

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In the present paper, we introduce the discrete cubic \mathfrak{X}-splines and study the existence, uniqueness and convergence properties of such \mathfrak{X}-splines which interpolate given functional values at the mesh points. An optimal interpolating discrete cubic \mathfrak{X}-spline and splines of special interest have also been discussed.

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