极性低质心体的对偶型quermass积分不等式

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1216/rmj.2023.53.1635

Weidong Wang

引用次数: 0

摘要

Lutwak和Zhang引入了lp -质心体，建立了lp -质心仿射不等式。此后，Lutwak、Yang和Zhang建立了Lp-Busemann-Petty质心不等式。本文给出了极性lp质心体的对偶质量积分、对偶仿射质量积分和对偶调和质量积分的不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR Lp-CENTROID BODIES

Lutwak and Zhang introduced Lp-centroid bodies and established the Lp-centro-affine inequality. Thereafter, Lutwak, Yang and Zhang established the Lp-Busemann–Petty centroid inequality. In this paper, we give the inequalities of dual quermassintegrals, dual affine quermassintegrals and dual harmonic quermassintegrals for polar Lp-centroid bodies.

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来源期刊

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.