Let o, 1m ER be pairwise distinct and let f: R R be a function. We...

 

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Let o, 1m ER be pairwise distinct and let f: R→ R be a function. We write plak, +1,...,₁] for the polynomial of degree 1-k that interpolates f at the points #k, k+1,..., , where k≤1. Show that (p₁,₁m]-p[ro, 1,,m-1]) plo, 1, Em] p[ro, ₁,...,m-1]+ = X-Xn To n Let o, 1m ER be pairwise distinct and let f: R→ R be a function. We write plak, +1,...,₁] for the polynomial of degree 1-k that interpolates f at the points #k, k+1,..., , where k≤1. Show that (p₁,₁m]-p[ro, 1,,m-1]) plo, 1, Em] p[ro, ₁,...,m-1]+ = X-Xn To n

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Answer Let p xo x xm Px and p x fx for i 012M... View the full answer