Linear Algebra Done Right · Problem 6C.17

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · minimization-problems

Problem

Find p∈P3(R)p \in \mathcal{P}_3(\mathbf{R}) such that p(0)=0p(0) = 0, p′(0)=0p'(0) = 0, and ∫01∣2+3x−p(x)∣2 dx\int_0^1 |2 + 3x - p(x)|^2 \, dx is as small as possible.

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