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Question: please show clear detailed step by step concise proof please...

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In the general theory let v,2, vn be the cardinal functions for a set of nodes 1, x2, , x.). Put uk Σ.k ui. Show that {ui, u2, , un} įs a Newtonian basis for the interpolation problem. Prove that if u interpolates data (, A) for 1 sic then u + [λk-u (xk)Juk interpolates the data for l is k.


please show clear, detailed step by step concise proof. please DO NOT copy answers from other websites and put it here. I want ORIGINAL proof from someone who is very sure of his work or please DO NOT POST. thanks

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