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The path of hyperinterpolation: A survey

Published 6 Oct 2025 in math.NA and cs.NA | (2510.04904v1)

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.

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