Suppose we use a 6-th degree polynom, PeW to estimete gox) = 2e* with data points (Xi,9(X;)) where the Xi's are evenly spaced over the interval and include the endpoints of the interval. Given an upper bound on the eror 190-25)-Po(023) on [0,25]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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Need Help on HWi Question ~
Supose we use a 6-th deyree polynom
PeW to estimete g)=2e* on [0,257
with data points (Xi,9(X;)) where the
X:'s are evenly spaced over the
interval and include the end points
of the interval. Given an upper
the eror
bound on 190-25)-Po(02)
If we were to use Chebyshev
interpolation to get a 7in degree
Polynomial what data would we
need to Obtain /use and wrent
would ean uper bound Of the
error at X= 0.25 be ?
Transcribed Image Text:Need Help on HWi Question ~ Supose we use a 6-th deyree polynom PeW to estimete g)=2e* on [0,257 with data points (Xi,9(X;)) where the X:'s are evenly spaced over the interval and include the end points of the interval. Given an upper the eror bound on 190-25)-Po(02) If we were to use Chebyshev interpolation to get a 7in degree Polynomial what data would we need to Obtain /use and wrent would ean uper bound Of the error at X= 0.25 be ?
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