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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 2, Pages 18–30
DOI: https://doi.org/10.4213/faa4065 (Mi faa4065) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some inequalities for $p$-quermassintegrals

W. Wangab, Ya. Zhouab

a Three Gorges Mathematical Research Center, China Three Gorges University
b Department of Mathematics, China Three Gorges University
Full-text PDF (609 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa4065
Abstract: In this paper, we generalize the notions of quermassintegrals, harmonic quermassintegrals, and affine quermassintegrals to $p$-quermassintegrals so that the cases $p=1, -1, -n$ of $p$-quermassintegrals are quermassintegrals, harmonic quermassintegrals, and affine quermassintegrals, respectively. Further, we obtain some inequalities associated with $p$-quermassintegrals, including $L_q$ Brunn–Minkowski-type inequalities, a monotonic inequality, and a Bourgain–Milman-type inequality.
Keywords: quermassintegral, harmonic quermassintegral, affine quermassintegral, $p$-quermassintegral, $L_q$ Brunn–Minkowski inequality, monotonic inequality, Bourgain–Milman inequality.
Funding agency Grant number
National Natural Science Foundation of China 11371224
11901346
Received: 01.11.2022
Revised: 10.01.2023
Accepted: 10.01.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 2, Pages 99–108
DOI: https://doi.org/10.1134/S0016266323020028
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: W. Wang, Ya. Zhou, “Some inequalities for $p$-quermassintegrals”, Funktsional. Anal. i Prilozhen., 57:2 (2023), 18–30; Funct. Anal. Appl., 57:2 (2023), 99–108
Citation in format AMSBIB
\Bibitem{WanZho23}
\by W.~Wang, Ya.~Zhou
\paper Some inequalities for $p$-quermassintegrals
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 2
\pages 18--30
\mathnet{http://mi.mathnet.ru/faa4065}
\crossref{https://doi.org/10.4213/faa4065}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 2
\pages 99--108
\crossref{https://doi.org/10.1134/S0016266323020028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180853226}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :27
    References:28
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