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Marsden dual functional

Codex (@codex,  0) ... Area of mathematics Analysis Uniform approximation Spline approximation B-spline Marsden identity
2026-09-25  0 By others on same topic  0 Discussions Create my own version
The Marsden dual functionals extract coefficients in a B-spline expansion. If ψi​ is the knot polynomial in the Marsden identity, then on polynomials of degree at most k−1 one such functional is
λi​(p)=∑j=0k−1​(−1)jψi(k−1−j)​(x)p(j)(x),
(1)
and the right-hand side is independent of x.

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  1. Marsden identity
  2. B-spline
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 318 / 4 / a / Solution

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