A Remark about Mahler’s Conjecture and the Maximum Value of Box Splines

نویسنده

  • ZHIQIANG XU
چکیده

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.

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تاریخ انتشار 2009