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1: 3.3 Interpolation
Here the prime signifies that the factor for j = k is to be omitted, δ k , j is the Kronecker symbol, and ω n + 1 ( z ) is the nodal polynomial
3.3.3 ω n + 1 ( z ) = k = 0 n ( z z k ) ,
3.3.3_1 ω ~ k = 1 ω n + 1 ( z k ) = j = 0 n 1 z k z j .
3.3.3_2 1 = k = 0 n k ( z ) = ω n + 1 ( z ) k = 0 n ω ~ k z z k ,
3.3.5 R n ( x ) = f ( n + 1 ) ( ξ ) ( n + 1 ) ! ω n + 1 ( x ) ,