Show that the Newton divided-difference polynomials 3 – 2(x + 1) + 0(x + 1)x + (x + 1)x(x – 1) and -1+ 4(x + 2) – 3(x + 2)(x + 1) + (x + 2)(x + 1)x both interpolate the data (–2, – 1), (–1,3), (0, 1), (1, – 1), (2,3). wwww Why do the polynomials not violate the uniqueness property of interpolating polynomials?

Show that the Newton divided-difference polynomials 3 – 2(x + 1) + 0(x + 1)x + (x + 1)x(x – 1) and -1+ 4(x + 2) – 3(x + 2)(x + 1) + (x + 2)(x + 1)x both interpolate the data (–2, – 1), (–1,3), (0, 1), (1, – 1), (2,3). wwww Why do the polynomials not violate the uniqueness property of interpolating polynomials?

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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