Akima Spline Interpolation
Function:  - Akima Spline Interpolation 6
This is one of the classic functions. We have examined this function at small intervals from 0 to 3. The function will increase its frequency of oscillations by increasing x. For a longer interval we need to increase the density of fitted nodes as the function's oscillations frequency is increased.
Graph 29. Function  - Akima Spline Interpolation at an interval [0,3] with 100 fitted nodes. These two graphs overlap each other very well.
Graph 30. Magnified Graph 29. Function  - Akima Spline interpolation demonstrates very well that the interpolation is doing an excellent job.
Graph 31. Function  - Akima Spline Interpolation (green curve) this time with an interval of [0,5] with 100 fitted nodes. Another Akima Spline Interpolation (blue curve) with 1000 fitted nodes at the same interval. It is clear that 100 nodes on this interval are insufficient.
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