3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19 nodes in [1,2]. what is a good upper bound for f(x)- p(x) on [1,2]?
3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19 nodes in [1,2]. what is a good upper bound for f(x)- p(x) on [1,2]?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19
nodes in [1.2]. what is a good upper bound for f(x)- p(x) on [1,2]?
4. Let the function f(x)= In
= ¹ (²-) be approximated by an interpolating polynomial of degree
12 with the nodes equally spaced in the interval [1.3]. what bound can be placed on the
absolute error?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa41a264b-8aa9-4f3c-9fa6-3aeb660fb004%2F78ab4bc0-ca28-4f37-9721-74ef95979905%2Fmy185ub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. If we interpolate the function f(x)=e¹ with a polynomial p of degree 18 using 19
nodes in [1.2]. what is a good upper bound for f(x)- p(x) on [1,2]?
4. Let the function f(x)= In
= ¹ (²-) be approximated by an interpolating polynomial of degree
12 with the nodes equally spaced in the interval [1.3]. what bound can be placed on the
absolute error?
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