C2-rational cubic spline involving tension parameters |
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| Authors: | M Shrivastava J Joseph |
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| Institution: | (1) Department of Mathematics and Computer Science, R D University, 482 001 Jabalpur, India |
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| 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. |
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| Keywords: | Interpolation rational spline tension parameter monotonicity convexity continuity |
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