English

The path of hyperinterpolation: A survey

Numerical Analysis 2025-10-07 v1 Numerical Analysis

Abstract

This paper surveys hyperinterpolation, a quadrature-based approximation scheme. We cover classical results, provide examples on several domains, review recent progress on relaxed quadrature exactness, introduce methodological variants, and discuss applications to differential and integral equations.

Keywords

Cite

@article{arxiv.2510.04904,
  title  = {The path of hyperinterpolation: A survey},
  author = {Congpei An and Jiashu Ran and Hao-Ning Wu},
  journal= {arXiv preprint arXiv:2510.04904},
  year   = {2025}
}

Comments

15 pages

R2 v1 2026-07-01T06:19:16.304Z