Q19
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x⋆, using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by I_ L and then by the Newton polynomial, denoted by I_ N . Which one of the following statements is correct?
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x⋆, using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by and then by the Newton polynomial, denoted by . Which one of the following statements is correct?
A.
is always greater than
B.
No definite relation exists between and
C.
and are always equal
AnswerD.
is always less than
Answer: Option C
Solution
Answer: Option C
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