{
  "as_of": "2026-09-07",
  "references": [
    {
      "title": "Some numerical results on best uniform polynomial approximation of x^alpha on [0,1]",
      "authors": [
        "Amos J. Carpenter",
        "Richard S. Varga"
      ],
      "venue": "Lecture Notes in Mathematics 1550",
      "role": "Records Bernstein's theorem that best degree-n polynomial approximation to x^alpha has error asymptotic to a positive constant times n^(-2 alpha)"
    },
    {
      "title": "Best uniform rational approximation of x^alpha on [0,1]",
      "author": "Herbert R. Stahl",
      "role": "Root-exponential best diagonal rational approximation calibration"
    },
    {
      "title": "Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities",
      "author": "Shuhuang Xiang",
      "venue": "SIAM Journal on Numerical Analysis 59 (2021), 1374-1398",
      "doi": "10.1137/20M134407X",
      "role": "Orthogonal polynomial projection of endpoint algebraic singularities has algebraic convergence rates"
    }
  ]
}