2008/12/22 by Zhiqiang Xu, Xu, Zhiqiang
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #FOS: Mathematics #Image and Signal Denoising Methods #Metric Geometry (math.MG) #Numerical Analysis (math.NA) #Statistical and numerical algorithms
paper · pdf · doi:10.48550/arxiv.0812.4284
openalex publication_date 2008/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we recast a special case of Mahler'c conjecture by the maximum value of box splines. This is the case of polytopes with at most 2n+2 facets. An asymptotic formula for univariate box splines is given. Based on the formula, Mahler's conjecture is proved in this case provided n is big enough.