Question: 6.7 Show that the Shepard interpolation algorithm given by will result in a differentiable function if parameter m>1. 1=1 if d # 0 for all

6.7 Show that the Shepard interpolation algorithm given by

1=1 if d # 0 for all i if d; =0 for

will result in a differentiable function if parameter m>1.

1=1 if d # 0 for all i if d; =0 for some j

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