EXTREME INEQUALITIES OF GENERAL \(L_p\) \(\mu\)-PROJECTION BODY AND GENERAL \(L_p\) \(\mu\)-CENTROID BODY

IF 0.5 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2026-03-09 DOI:10.1007/s10476-026-00144-6

C. Li, G. Chen

引用次数: 0

Abstract

In this paper, we introduce the concept of general \(L_p\) projection body and general \(L_p\) centroid body of general measures with positive homogeneity density function, and prove the corresponding extreme inequalities. Meanwhile, we also study their measure comparison problems and monotone inequalities.

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一般\(L_p\)\(\mu\) -投影体和一般\(L_p\)\(\mu\) -质心体的极端不等式

本文引入了具有正齐次密度函数的一般测度的一般\(L_p\)投影体和一般\(L_p\)质心体的概念，并证明了相应的极值不等式。同时，我们还研究了它们的测度比较问题和单调不等式。

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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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.