Answer to Question #55522 in Discrete Mathematics for Joseph

Question

6 The interpolation error is denoted by………….

a. E n (x ¯ )=f(x ¯ )−P n (x ¯ )=∏ i=0 n (x ¯ −x i )f ( n+1)ℶ(x ¯ )(n+1)
b. E n (x ¯ )
=
f(x ¯ )−P n (x ¯ )
=
∑ i=0 n (x ¯ −x i )f ( n+1)ℶ(x ¯ )(n+1)!
c. E n (x)
=
f(x)−P n (x)
=
∏ i=0 n (x ¯ −x i )f ( n+1)ℶ(x ¯ )(n+1)!
d. E n (x ¯ )=f(x ¯ )−P n (x ¯ )=∏ i=0 n (x ¯ −x i )f ( n+1)ℶ(x ¯ )(n+1)!
7 The inverse interpolation formular is given by…………..
a. P n (y)=∏ i=0 n x i [∏ j=0,j≠i n y−y j y i −y j ]
b. P n (y)=∑ i=0 n x i [∏ j=1,j≠i n y−y j y i −y k ]
c. P n (y)=∑ i=0 n x i [∏ j=0,j=i n y−y j y i −y j ]
d. P n (y)=∑ i=0 n x i [∏ j=0,j≠i n y−y j y i −y j ]