BRUNN–MINKOWSKI TYPE INEQUALITIES FOR Lp MOMENT BODIES*
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 391-398
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About 15 years ago, Lutwak and Zhang (E. Lutwak and G. Zhang, Blaschke–Santalo inequalities, J. Differ. Geom. 47 (1997), 1–16) introduced the notion of Lp moment bodies and established important volume inequalities for them, which were recently generalized by Haberl and Schuster (C. Haberl and E. Schuster, General Lp affine isoperimetric inequalities, J. Differ. Geom. 83 (2009), 1–26). In this paper, we establish new Brunn–Minkowski-type inequalities with respect to Blaschke Lp harmonic addition for the quermassintegrals and dual quermassintegrals of Lp moment bodies.
ZHU, BAOCHENG; LI, NI; ZHOU, JIAZU. BRUNN–MINKOWSKI TYPE INEQUALITIES FOR Lp MOMENT BODIES*. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 391-398. doi: 10.1017/S0017089512000638
@article{10_1017_S0017089512000638,
author = {ZHU, BAOCHENG and LI, NI and ZHOU, JIAZU},
title = {BRUNN{\textendash}MINKOWSKI {TYPE} {INEQUALITIES} {FOR} {Lp} {MOMENT} {BODIES*}},
journal = {Glasgow mathematical journal},
pages = {391--398},
year = {2013},
volume = {55},
number = {2},
doi = {10.1017/S0017089512000638},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000638/}
}
TY - JOUR AU - ZHU, BAOCHENG AU - LI, NI AU - ZHOU, JIAZU TI - BRUNN–MINKOWSKI TYPE INEQUALITIES FOR Lp MOMENT BODIES* JO - Glasgow mathematical journal PY - 2013 SP - 391 EP - 398 VL - 55 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000638/ DO - 10.1017/S0017089512000638 ID - 10_1017_S0017089512000638 ER -
%0 Journal Article %A ZHU, BAOCHENG %A LI, NI %A ZHOU, JIAZU %T BRUNN–MINKOWSKI TYPE INEQUALITIES FOR Lp MOMENT BODIES* %J Glasgow mathematical journal %D 2013 %P 391-398 %V 55 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000638/ %R 10.1017/S0017089512000638 %F 10_1017_S0017089512000638
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