A Remark on the Convolution with Box Splines

2010/03/08 by Michèle Vergne, Michele Vergne, Vergne, Michele
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #math.AC #math.CO

paper · pdf · doi:10.48550/arxiv.1003.1574

arxiv created 2010/03/08 · openalex publication_date 2010/03/08 · arxiv updated 2010/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the difference between semi-discrete convolution and convolution with the Box Spline. This formula involves multiple Bernoulli polynomials.

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