Author/Authors :
Hussain, M Department of Mathematics - Lahore College for Women University, Lahore, Pakistan , Hussain, M. Z Department of Mathematics - University of the Punjab, Lahore, Pakistan , Sarfraz, M Department of Information Sciences - Kuwait University, Safat, Kuwait
Abstract :
The cubic polynomial interpolation schemes are presented for the shape preservation of positive, monotone and convex 2D data. A GC1 cubic interpolant with two free parameters in Ball form is constructed. The constraints are developed on these free parameters to preserve the shapes of data. The order of approximation of the developed shape-preserving schemes is O(h2i).
Keywords :
GC1 cubic function , Ball form , Peano Kernel theorem , Shape preservation
