Problem 4 ph) (a) = f(¹)(a) ₂(k) (b) = f(k)(b), k= 0,1,2. p 5 a. Construct a cardinal basis for the piecewise quintic Hermite polynomials H₂(π) b. What is the dimension of H₂(í)? Prove it?

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Problem 4
ph(a) = f(¹) (a)
p(k) (b) = f(k)(b), k = 0,1,2.
a. Construct a cardinal basis for the piecewise quintic Hermite polynomials H₂(¹)
b. What is the dimension of H₂()? Prove it?
Transcribed Image Text:Problem 4 ph(a) = f(¹) (a) p(k) (b) = f(k)(b), k = 0,1,2. a. Construct a cardinal basis for the piecewise quintic Hermite polynomials H₂(¹) b. What is the dimension of H₂()? Prove it?
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