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Approximation of polynomials from Walsh tail spaces

Alexandros Eskenazis, Haonan Zhang Studia Mathematica MSC: Primary 42C10; Secondary 41A17, 60E15 DOI: 10.4064/sm231123-4-1 Published online: 11 April 2024

Abstract

We derive various bounds for the $L_p$-distance of polynomials on the hypercube from Walsh tail spaces, extending some of Oleszkiewicz’s results (2017) for Rademacher sums.

Authors

  • Alexandros EskenazisCNRS, Institut de Mathématiques de Jussieu
    Sorbonne Université
    Paris, Fance
    and
    Trinity College
    University of Cambridge
    Cambridge, UK
    e-mail
    e-mail
  • Haonan ZhangDepartment of Mathematics
    University of South Carolina
    Columbia, SC 29208, USA
    e-mail
    e-mail

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