Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline

Abstract

In a recent article, a piecewise cubic fractional spline function is developed which produces C-1 continuity to given data points. In the present paper, an interpolant continuity class C-2 is preserved which gives visually pleasing piecewise curves. he behavior of the resulting representations is analyzed intrinsically with respect to variation of the shape control parameters t and s. The data points are restricted to be strictly monotonic along real line.