不对称\(L_p\)-差分体的\(q\)-和双\(q\)-质点积分的极值

Pub Date : 2024-10-14 DOI:10.1134/S0016266324030018
Weidong Wang,  Hui Xue
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引用次数: 0

摘要

Wang 和 Ma 引入了不对称 \(L_p\)- 差分体的概念。他们进一步给出了非对称(L_p\)差分体的体积极值及其极值。此后,Shi 和 Wang 又得到了他们版本的量子整数和二重量子整数。在本文中,我们确定了非对称\(L_p\)-差分体的\(q\)-质点积分和双\(q\)-质点积分的极值。
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The Extrema of \(q\)- and Dual \(q\)-Quermassintegrals for the Asymmetric \(L_p\)-Difference Bodies

Wang and Ma introduced the notion of asymmetric \(L_p\)-difference bodies. They further gave the extrema of volumes for the asymmetric \(L_p\)-difference body and its polar. Thereafter, Shi and Wang obtained their versions of quermassintegrals and dual quermassintegrals. In this paper, we determine the extrema of the \(q\)-quermassintegrals and dual \(q\)-quermassintegrals for the asymmetric \(L_p\)-difference bodies.

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