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Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 3, Pages 3–16
DOI: https://doi.org/10.4213/faa4087 (Mi faa4087) 		 
The extrema of $q$- and dual $q$-quermassintegrals for the asymmetric $L_p$-difference bodies

Weidong Wangab, Hui Xuec

a Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China
b Department of Mathematics, China Three Gorges University, Yichang, China
c College of Basic Medical Sciences, China Three Gorges University, Yichang, China
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DOI: https://doi.org/10.4213/faa4087
Abstract: 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.
Keywords: extrema, asymmetric $L_p$-difference body, $q$-quermassintegral, dual $q$-quermassintegral.
Funding agency Grant number
National Natural Science Foundation of China 11371224
Research is supported in part by the Natural Science Foundation of China (Grant № 11371224).
Received: 23.01.2023
Revised: 26.08.2023
Accepted: 26.08.2023
Published: 01.08.2024
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 3, Pages 229–239
DOI: https://doi.org/10.1134/S0016266324030018
Bibliographic databases:
Document Type: Article
MSC: Primary 52A20, , 52A40; Secondary 52A40
Language: Russian
Citation: Weidong Wang, Hui Xue, “The extrema of $q$- and dual $q$-quermassintegrals for the asymmetric $L_p$-difference bodies”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 3–16; Funct. Anal. Appl., 58:3 (2024), 229–239
Citation in format AMSBIB
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