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C2-rational cubic spline involving tension parameters

Research paper by M Shrivastava, J Joseph

Indexed on: 01 Aug '00Published on: 01 Aug '00Published in: Proceedings - Mathematical Sciences



Abstract

In the present paper, C1-piecewise rational cubic spline function involving tension parameters is considered which produces a monotonie interpolant to a given monotonie data set. It is observed that under certain conditions the interpolant preserves the convexity property of the data set. The existence and uniqueness of a C2-rational cubic spline interpolant are established. The error analysis of the spline interpolant is also given.