c3f61702-12be-47d9-8dc8-89eea831838b beie director@blueeyesintelligence.org 10.35940/ijrte.C6346.0910321 10.1137/0710039O.L. Schumaker and H.H. Schumaker - Best summation formula and discrete spline SIAM J. Anal. 10 (1973), pp, 448-459.10.1137/0309015O.L. Schumaker and H.H. Schumaker, Discrete Spline Via Mathematical Programming SIAM J. Control (1971), pp, 174-183.10.1006/jath.1996.0058S.S. Rana and Y.P. Dubey Local Behavior of discrete cubic spline interpolation, J. Approx. Theory 86 (1996), pp. 120-127.10.1016/j.amc.2003.12.030Duan Q., Wang H, Twizall E.H. A new C2 rational interpolation based on function values and constrained control of the interpolation curves. Appl.Math. Comput. 2005, 161 (2005), pp. 311-322.Hussain, M.H., Sarfaraz M, Hussain M. Scientific data visualization with shape preserving c1 rational cubic interpolation. Eur. J. Pare, Appl. Math. 2010, 3(2), pp. 194-222.Sarfaraz M. Hussain M.H, Asfar N. Positive data Modeling using spline function App. Math Combutt 2010.10.1016/j.amc.2012.09.007Abbas, M., A.A. Majid and J.M. Ali. Monotonicity Preserving C2 rational cubic spline for monotone data. Applied Math. and Computation, 2019, pp- 2885-2895, (2012).Karim A.A. and V.P. Kong. Local Control of the curves using rational cubic spline submitted, 2013.10.1016/j.jvcir.2009.03.003Bao, F., Q. Sun. J. Pan and Q. Duan. Point control of the interpolating of curve with rational cubic spline. J.V.Commun Image R. 20, pp. 285-280 (2009).10.1016/0097-8493(93)90051-AButt and K.W. Bodhie, Preserving positivity using piecewise cubic interpolation, Computer and Graphics 17(1) : 55-64 (1993).10.1016/0097-8493(91)90026-EK.W. Brodlie and S. Butt. Preserving convexity using piecewise cubic interpolation computer graphics, Vol. 15, No. 1, pp. 15-23 (1991).T. Lyche. Discrete Cubic Spline Interpolation Report RRI 5, Univ. of JSIO, 1975.