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Results tagged with legendre-polynomials
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user 14830
8
votes
Maximum of the Vandermonde determinant / minimum of the logarithmic energy
Since you know already that the optimal $a_i$ have
$2a_i + 1 = x_i = \pm 1$ and the roots of $P'_{n-1}$,
the calculation of $V_n$ comes down to the discriminant of $P'_{n-1}$,
its leading coefficient, …
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