不对称\(L_p\)-差分体的\(q\)-和双\(q\)-质点积分的极值

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications 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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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.