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 Post subject: Hermit polynom of intepolationPosted: Sat, 16 May 2009 11:41:30 UTC
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Joined: Mon, 17 Jan 2005 09:59:16 UTC
Posts: 11
Location: Cluj,Romania
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 ∈[0, 3] and ≤ M on [0, 3].
The maxim error is dependent on M

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 Post subject: Re: Hermit polynom of intepolationPosted: Sat, 16 May 2009 14:02:44 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6062
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
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 ∈[0, 3] and ≤ M on [0, 3].
The maxim error is dependent on M

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