Hermit polynom of intepolation

silviu · **Posted:** Sat, 16 May 2009 11:41:30 UTC

Knowing that a function f is define on [0, 3] and that
f(0) = 1, f(1) = 2, f′(1) = −1, f(3) = f′(3) = 0.

a) Estimate f(2) using Hermite interpolation polynom .

b)Estimate the maxim error possible from point a) knowing that:
f ∈ C^5

[0, 3] and $|f^{(5)}(x)|$ ≤ M on [0, 3].
The maxim error is dependent on M

outermeasure · **Posted:** Sat, 16 May 2009 14:02:44 UTC

silviu wrote:

Knowing that a function f is define on [0, 3] and that
f(0) = 1, f(1) = 2, f′(1) = −1, f(3) = f′(3) = 0.

a) Estimate f(2) using Hermite interpolation polynom .

b)Estimate the maxim error possible from point a) knowing that:
f ∈ C^5

[0, 3] and $|f^{(5)}(x)|$ ≤ M on [0, 3].
The maxim error is dependent on M

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Hermit polynom of intepolation

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