Rational approximation of xⁿ

2018/01/03 by Yuji Nakatsukasa, Lloyd N. Trefethen, Nakatsukasa, Yuji +1 · 3 citations
Mathematics · #41A20 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1801.01092

openalex publication_date 2018/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Let E_kk⁽ⁿ⁾ denote the minimax (i.e., best supremum norm) error in approximation of xⁿ on [\kern .3pt 0,1] by rational functions of type (k,k) with k

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