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arXiv · 1904.08589

Transfinite diameter with generalized polynomial degree

Sione Ma`u
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Abstract

We prove a Chebyshev transform formula for a notion of (weighted) transfinite diameter that is defined using a generalized notion of polynomial degree. We also generalize Leja points to this setting. As an application of our main formula, we prove that in the unweighted case, these generalized Leja points recover the transfinite diameter.

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Sione Ma`u. 2019-04-18. Transfinite diameter with generalized polynomial degree. https://doi.org/10.1007/s11118-020-09843-7

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