Geodesic
Lp-moment mixed quermassintegrals
Filomat, Tome 37 (2023) no. 21, p. 6995

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DOI

L p-moment mixed quermassintegrals of convex bodies in R n are introduced. The Brunn-Minkowski type inequality and Aleksandrov-Fenchel type inequality are established for L p-moment mixed quermassintegrals that imply affine mixed quermassintegrals inequality, Lutwak's mixed polar projection inequality, and isoperimetric inequality for L p-moment mixed quermassintegrals. Inequalities of L p-moment mixed quermassintegrals of polar bodies are proved.
DOI : 10.2298/FIL2321995Y
Classification : 52A40
Keywords: Quermassintegral, Brunn-Minkowski inequality, Affine quermassintegrals, Lp-moment quermassintegral, Aleksandrov-Fenchel inequality 
Leiqin Yin; Yanli Guan; Wenxue Xu. Lp-moment mixed quermassintegrals. Filomat, Tome 37 (2023) no. 21, p. 6995 . doi: 10.2298/FIL2321995Y
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     title = {Lp-moment mixed quermassintegrals},
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     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321995Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321995Y/}
}
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