Discrete cubic spline interpolation |
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| Authors: | H. P. Dikshit P. Powar |
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| Affiliation: | (1) Department of Mathematics, University of Alberta, Edmonton, Canada;(2) Department of Post-Graduate Studies and Research in Mathematics, University of Jabalpur, Jabalpur, India |
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| Abstract: | ![]()
Summary In the present paper we study the existence, uniqueness and convergence of discrete cubic spline which interpolate to a given function at one interior point of each mesh interval. Our result in particular, includes the interpolation problems concerning continuous periodic cubic splines and discrete cubic splines with boundary conditions considered respectively in Meir and Sharma (1968) and Lyche (1976) for the case of equidistant knots. |
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| Keywords: | AMS (MOS) 65D05 CR: 5.13 |
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