Chebyshev polynomials T_n: orthogonal basis + minimax optimality

Layer 0 — Mathematicsin the approximation-theory subtree

Chebyshev polynomials of the first kind T_n are defined by the trigonometric identity T_n(cos θ) = cos(n θ), with closed forms T_0 = 1, T_1 = x, T_{n+1} = 2x T_n − T_{n-1}. Two defining properties: (i) orthogonality on [−1, 1] with weight…

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