The path of hyperinterpolation: A survey

Congpei An, Jiashu Ran, Hao-Ning Wu

Published: 2025/10/6

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.