TY  - JOUR
T1  - Monotonicity-Preserving Using Rational Cubic Spline Interpolation
AU - Karim, Samsul Ariffin Abdul AU - Pang, Kong Voon 
JO  - Research Journal of Applied Sciences
VL  - 9
IS  - 4
SP  - 214
EP  - 223
PY  - 2014
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2014.214.223
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2014.214.223
KW  - Monotonicity-preserving
KW  -rational cubic spline
KW  -parameters
KW  -ufficient condition
KW  -C1
AB  - This study discusses the use of C<SUP>1</SUP> rational cubic 
  spline interpolant of the form cubic/quadratic with three shape parameters to 
  preserves the monotonicity of the given data sets. The data dependent sufficient 
  conditions for the monotonicity of rational interpolant are derived on one parameter 
  while the other two parameters can be further utilized to changes and modify 
  the final shape of the monotonic interpolating curves. These sufficient conditions 
  will ensure the existence of monotone rational interpolant. Several numerical 
  results are presented to test the capability of the proposed rational interpolant 
  scheme. Comparisons with the existing scheme also have been done. From all numerical 
  results, the new rational cubic spline interpolant gives satisfactory results.
ER  -