Positivity and Convexity Preserving Interpolation Using ?GC?^1 Quartic Trigonometric Spline
- Department of Engineering Mathematics, Global Nature Care Sangathans Group of Institutions Jabalpur India.
- Department of Mathematics, Jabalpur Engineering College, Jabalpur (M.P.) India.
- Department of Mathematics and Computer Science, R. D. University, Jabalpur, (M.P.) India.
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Abstract
A GC^1 quartic trigonometric spline interpolation has been developed, which can produce a positive and convex interpolant to given positive and convex data respectively. The explicit representation is easily constructed and numerical examples indicate that the method produces visually pleasing curves. The degree of smoothness is GC^1 continuity.
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R.K. Dubey, S.S.Thakur and S. S. Rana (2015); Positivity and Convexity Preserving Interpolation Using ?GC?^1 Quartic Trigonometric Spline, Int. J. of Adv. Res., 3 (11), 902-907, ISSN 2320-5407.
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