Convergence of Cubic Spline Super Fractal Interpolation Functions

Details Convergence of Cubic Spline Super Fractal Interpolation Functions Convergence of Cubic Spline Super Fractal Interpolation Functions

2012-01-19

arxiv.org/abs/1201.3997v1

Mathematics

Dynamical Systems

15 pages

Scientific paper

In the present work, the notion of Cubic Spline Super Fractal Interpolation Function (SFIF) is introduced to simulate an object that depicts one structure embedded into another and its approximation properties are investigated. It is shown that, for an equidistant partition points of [x_0,x_N], the interpolating Cubic Spline (SFIF) and their derivatives converge respectively to the data generating function and its derivatives at the rate of h^(2-j+e) (0

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