Ai, Wen; Huang, Qingzhong The \(L_p\) John ellipsoids for general measures. (English) Zbl 1505.52004 Geom. Dedicata 217, No. 2, Paper No. 17, 19 p. (2023). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, T.; Wang, W. D. Some inequalities on general \(L_p\)-mixed brightness integrals. (English) Zbl 1499.52003 Anal. Math. 47, No. 4, 853-865 (2021). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 52A39 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ai-Jun; Zhang, Si-Tao Sharp inequalities related to the functional \(U_j\) and some applications. (English) Zbl 1467.52014 Geom. Dedicata 213, 173-190 (2021). Reviewer: George Stoica (Saint John) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Rui; Lv, Songjun An \(\text{SL}(n)\)-invariant mixed integral \(L_p\) affine surface area. (English) Zbl 1442.52003 Bol. Soc. Mat. Mex., III. Ser. 26, No. 2, 701-718 (2020). Reviewer: Niufa Fang (Chongqing) MSC: 52A21 52A39 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Juan; Wang, Weidong \(L_p\)-dual affine surface areas for the general \(L_p\)-intersection bodies. (English) Zbl 1499.52021 Filomat 33, No. 14, 4421-4428 (2019). MSC: 52A40 52A39 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Saroglou, Christos; Soprunov, Ivan; Zvavitch, Artem Wulff shapes and a characterization of simplices via a Bezout type inequality. (English) Zbl 1428.52012 Adv. Math. 357, Article ID 106789, 24 p. (2019). MSC: 52A39 52A20 52A40 52B11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Jiaqi; Xiong, Ge; Zou, Du Affine isoperimetric inequalities for intersection mean ellipsoids. (English) Zbl 1431.52007 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 191, 20 p. (2019). Reviewer: George Stoica (Saint John) MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Songjun A sharp dual \(L_p\) John ellipsoid problem for \(p\le -n-1\). (English) Zbl 1431.52008 Beitr. Algebra Geom. 60, No. 4, 709-732 (2019). Reviewer: Zsolt Lángi (Budapest) MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Jiaqi; Xiong, Ge; Zou, Du On mixed \(L_{p}\) John ellipsoids. (English) Zbl 1433.52008 Adv. Geom. 19, No. 3, 297-312 (2019). Reviewer: Yiming Zhao (Cambridge, MA) MSC: 52A40 52A20 52A39 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ai-Jun; Huang, Qingzhong; Xi, Dongmeng New sine ellipsoids and related volume inequalities. (English) Zbl 1434.52010 Adv. Math. 353, 281-311 (2019). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tian; Wang, Weidong Some inequalities for asymmetric \(L_p\)-mean zonoids. (English) Zbl 1436.52007 Quaest. Math. 42, No. 5, 631-649 (2019). MSC: 52A40 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Songjun \(L_\infty \) Loomis-Whitney inequalities. (English) Zbl 1415.52004 Geom. Dedicata 199, 335-353 (2019). Reviewer: Yiming Zhao (Cambridge, MA) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Du; Xiong, Ge New affine inequalities and projection mean ellipsoids. (English) Zbl 1414.52005 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 44, 18 p. (2019). Reviewer: Thomas Jahn (Chemnitz) MSC: 52A40 46B06 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Congli; Chen, Fangwei Volume inequalities for asymmetric Orlicz zonotopes. (English) Zbl 1405.52004 Taiwanese J. Math. 22, No. 1, 157-181 (2018). Reviewer: Yiming Zhao (Cambridge, MA) MSC: 52A20 52A40 52A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Chen, Ruifang; Guo, Lujun Orlicz extensions of Brunn-Minkowski theory. (English) Zbl 1395.52012 Result. Math. 73, No. 2, Paper No. 50, 13 p. (2018). MSC: 52A40 52A20 33C55 × Cite Format Result Cite Review PDF Full Text: DOI
Berg, Astrid; Parapatits, Lukas; Schuster, Franz E.; Weberndorfer, Manuel [Alesker, Semyon] Log-concavity properties of Minkowski valuations (with an appendix by Semyon Alesker). (English) Zbl 1390.52024 Trans. Am. Math. Soc. 370, No. 7, 5245-5277 (2018). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52B45 52A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Qunli; Lv, Songjun An extremal property of \(p\)-mean width. (English) Zbl 1390.52015 Result. Math. 73, No. 1, Paper No. 26, 18 p. (2018). MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ai-Jun; Huang, Qingzhong; Xi, Dongmeng Sections and projections of \(L_p\)-zonoids and their polars. (English) Zbl 1387.52017 J. Geom. Anal. 28, No. 1, 427-447 (2018). Reviewer: George Stoica (Saint John) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhaofeng; Wang, Weidong Inequalities on asymmetric \(L_p\)-harmonic radial bodies. (English) Zbl 1412.52003 J. Nonlinear Sci. Appl. 10, No. 7, 3612-3618 (2017). MSC: 52A20 52A39 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zhonghuan; Li, Yanan; Wang, Weidong \(L_p\)-dual geominimal surface areas for the general \(L_p\)-intersection bodies. (English) Zbl 1412.52004 J. Nonlinear Sci. Appl. 10, No. 7, 3519-3529 (2017). MSC: 52A20 52A40 52A39 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ai-Jun; Huang, Qingzhong; Xi, Dongmeng Volume inequalities for sections and projections of Wulff shapes and their polars. (English) Zbl 1377.52012 Adv. Appl. Math. 91, 76-97 (2017). Reviewer: Gabil Adilov (Antalya) MSC: 52A40 52A38 28A20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weidong; Shi, Wei; Ye, Si Dual mixed Orlicz-Brunn-Minkowski inequality and dual Orlicz mixed quermassintegrals. (English) Zbl 1379.52008 Indag. Math., New Ser. 28, No. 4, 721-735 (2017). Reviewer: Martin Henk (Berlin) MSC: 52A40 52B20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Feixiang; Leng, Gangsong Orlicz-Brunn-Minkowski inequalities for Blaschke-Minkowski homomorphisms. (English) Zbl 1368.52003 Geom. Dedicata 187, 137-149 (2017). Reviewer: Alexey Alimov (Moskva) MSC: 52A40 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Paouris, Grigoris; Pivovarov, Peter Random ball-polyhedra and inequalities for intrinsic volumes. (English) Zbl 1367.52006 Monatsh. Math. 182, No. 3, 709-729 (2017). Reviewer: Florian Pausinger (Garching) MSC: 52A22 52A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Weidong; Li, Tian Volume extremals of general \(L_{p}\)-centroid bodies. (English) Zbl 1366.52005 J. Math. Inequal. 11, No. 1, 193-207 (2017). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A20 52A40 52A39 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ai-Jun; Xi, Dongmeng; Zhang, Gaoyong Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds. (English) Zbl 1359.52011 Adv. Math. 304, 494-538 (2017). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A40 52A21 52A38 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Van Hoang New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality. (English) Zbl 1355.26018 Adv. Math. 302, 1080-1110 (2016). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D07 46E35 52A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ai-Jun; Huang, Qingzhong The dual Loomis-Whitney inequality. (English) Zbl 1351.52006 Bull. Lond. Math. Soc. 48, No. 4, 676-690 (2016). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A40 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weidong; Wang, Jianye Extremum of geometric functionals involving general \(L_{p}\)-projection bodies. (English) Zbl 1341.52015 J. Inequal. Appl. 2016, Paper No. 135, 16 p. (2016). MSC: 52A40 52A20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Li, Ai-Jun; Huang, Qingzhong The \(L_p\) Loomis-Whitney inequality. (English) Zbl 1336.52008 Adv. Appl. Math. 75, 94-115 (2016). MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo Reverse and dual Loomis-Whitney-type inequalities. (English) Zbl 1335.52007 Trans. Am. Math. Soc. 368, No. 7, 5093-5124 (2016). MSC: 52A20 52A40 52A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhaofeng; Wang, Weidong General \(L_{p}\)-mixed chord integrals of star bodies. (English) Zbl 1333.52003 J. Inequal. Appl. 2016, Paper No. 58, 12 p. (2016). MSC: 52A20 52A40 52A39 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ober, Michael Asymmetric \(L_p\) convexification and the convex Lorentz-Sobolev inequality. (English) Zbl 1334.52010 Monatsh. Math. 179, No. 1, 113-127 (2016). Reviewer: Guangxian Zhu (New York) MSC: 52A40 52A39 × Cite Format Result Cite Review PDF Full Text: DOI
Pei, Yanni; Wang, Weidong A type of Busemann-Petty problems for general \(L_p\)-intersection bodies. (English) Zbl 1349.53013 Wuhan Univ. J. Nat. Sci. 20, No. 6, 471-475 (2015). MSC: 53A15 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Jinsheng; Feng, Yibin \(L_{p}\)-dual geominimal surface area and general \(L_{p}\)-centroid bodies. (English) Zbl 1336.52002 J. Inequal. Appl. 2015, Paper No. 358, 9 p. (2015). MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Pei, Yanni; Wang, Weidong Shephard type problems for general \(L_{p}\)-centroid bodies. (English) Zbl 1338.52006 J. Inequal. Appl. 2015, Paper No. 287, 13 p. (2015). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A20 52A40 52A39 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wang, Jianye; Wang, Weidong General \(L_{p}\)-dual Blaschke bodies and the applications. (English) Zbl 1335.52010 J. Inequal. Appl. 2015, Paper No. 233, 11 p. (2015). MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Yan, Li; Wang, Weidong General \(L_{p}\)-mixed-brightness integrals. (English) Zbl 1335.52011 J. Inequal. Appl. 2015, Paper No. 190, 11 p. (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Li, Ai-Jun Isomorphic versions of reverse isoperimetric inequalities. (English) Zbl 1332.52007 Geom. Dedicata 179, 139-151 (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Meyer, Mathieu; Schütt, Carsten; Werner, Elisabeth M. Affine invariant points. (English) Zbl 1343.52003 Isr. J. Math. 208, 163-192 (2015). Reviewer: Gennadiy Averkov (Magdeburg) MSC: 52A20 52A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Chang-Jian; Cheung, Wing-Sum On reverse Minkowski-type inequalities. (English) Zbl 1396.52016 Mediterr. J. Math. 12, No. 3, 1085-1094 (2015). MSC: 52A40 52A30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qingzhong; He, Binwu Volume inequalities for complex isotropic measures. (English) Zbl 1321.52006 Geom. Dedicata 177, 401-428 (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Changmin; Guo, Lujun; Leng, Gangsong Volume inequalities for Orlicz mean bodies. (English) Zbl 1322.52005 Proc. Indian Acad. Sci., Math. Sci. 125, No. 1, 57-70 (2015). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Lujun; Leng, Gangsong; Du, Changmin The Orlicz mean zonoid operator. (English) Zbl 1318.52006 J. Math. Anal. Appl. 424, No. 2, 1261-1271 (2015). Reviewer: Monika Ludwig (Wien) MSC: 52A21 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Lujun; Leng, Gangsong Mean width inequalities for symmetric Wulff shapes. (English) Zbl 1304.52002 Sci. China, Math. 57, No. 8, 1649-1656 (2014). MSC: 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Qingzhong; He, Binwu Gaussian inequalities for Wulff shapes. (English) Zbl 1304.52011 Geom. Dedicata 169, 33-47 (2014). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 52A30 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Lujun; Leng, Gangsong Determination of star bodies from \(p\)-centroid bodies. (English) Zbl 1309.52003 Proc. Indian Acad. Sci., Math. Sci. 123, No. 4, 577-586 (2013). MSC: 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Weberndorfer, Manuel Shadow systems of asymmetric \(L_p\) zonotopes. (English) Zbl 1296.52008 Adv. Math. 240, 613-635 (2013). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wei \(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms. (English) Zbl 1280.52007 Geom. Dedicata 164, 273-285 (2013). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 52A40 53A15 × Cite Format Result Cite Review PDF Full Text: DOI
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The log-Brunn-Minkowski inequality. (English) Zbl 1258.52005 Adv. Math. 231, No. 3-4, 1974-1997 (2012). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guangting; Leng, Gangsong; Huang, Qingzhong Volume inequalities for Orlicz zonotopes. (English) Zbl 1275.52006 J. Math. Anal. Appl. 391, No. 1, 183-189 (2012). MSC: 52A20 52A38 × Cite Format Result Cite Review PDF Full Text: DOI