Question: Q4) Let p(x) be the polynomial that interpolates f (x) at (*o, Yo) and (x,, y) .Prove that the error bound in this interpolation

Q4) Let p(x) be the polynomial that interpolates f (x) at (*o,

Q4) Let p(x) be the polynomial that interpolates f (x) at (*o, Yo) and (x,, y) .Prove that the error bound in this interpolation (for any x ) is 2 Mh f" (x) on [*, , xl. // ,where M is the maximum of 8.

Step by Step Solution

3.34 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!