Let lj,n(x) be the Lagrange polynomial in the formulation Pn(x) = y;l;n(x), j=0 show that for any n > 1, we have Elin(x) = 1 and E(x) = 0 j=0 j=0 where l,(x) is the derivative of l;,n(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let l;n(x) be the Lagrange polynomial in the formulation
Pa(x) = Vslj,n(x),
j=0
show that for any n > 1, we have
n
n
Elin(x) = 1 and n(a) = 0
j=0
j=0
where l', (x) is the derivative of l;n(x).
I,n
Transcribed Image Text:Let l;n(x) be the Lagrange polynomial in the formulation Pa(x) = Vslj,n(x), j=0 show that for any n > 1, we have n n Elin(x) = 1 and n(a) = 0 j=0 j=0 where l', (x) is the derivative of l;n(x). I,n
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