English

Approximation of polynomials from Walsh tail spaces

Classical Analysis and ODEs 2024-01-04 v2 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.2311.09021,
  title  = {Approximation of polynomials from Walsh tail spaces},
  author = {Alexandros Eskenazis and Haonan Zhang},
  journal= {arXiv preprint arXiv:2311.09021},
  year   = {2024}
}

Comments

8 pages. Minor changes based on the referee's report

R2 v1 2026-06-28T13:22:10.428Z