Geodesic
Inequalities on the (p, q)-mixed volume involving Lp centroid bodies and Lp intersection bodies
Filomat, Tome 36 (2022) no. 5, p. 1527

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DOI

In this paper, applying for the Minkowski's and Hölder's integral inequalities, we obtain four theorems about the (p, q)-mixed volume involving the L p centroid bodies and the L p intersection bodies, respectively. The former two theorems reveal the convexity of the functionals related to the (p, q)-mixed volume, in terms of the dual Blaschke addition introduced in [Journal of Geometric Analysis, 30 (2020) 3026-3034], and the latter two theorems expose the monotonicity of the other functionals related to the (p, q)-mixed volume.
DOI : 10.2298/FIL2205527H
Classification : 52A20, 52A39, 52A40
Keywords: (p, q)-mixed volume, Lp centroid body, Lp intersection body, Brunn-Minkowski type inequality, monotonicity inequality 
Zejun Hu; Hai Li. Inequalities on the (p, q)-mixed volume involving Lp centroid bodies and Lp intersection bodies. Filomat, Tome 36 (2022) no. 5, p. 1527 . doi: 10.2298/FIL2205527H
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     title = {Inequalities on the (p, q)-mixed volume involving {Lp} centroid bodies and {Lp} intersection bodies},
     journal = {Filomat},
     pages = {1527 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205527H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205527H/}
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