caa a22 4500 606244344 CHVBK 20210128101329.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s12044-015-0214-y doi (NATIONALLICENCE)springer-10.1007/s12044-015-0214-y Volume inequalities for Orlicz mean bodies [Elektronische Daten] [CHANGMIN DU, LUJUN GUO, GANGSONG LENG] In this paper, the Orlicz mean body H ϕ K of a convex body K is introduced. Using the notion of shadow system, we establish a sharp lower estimate for the volume ratio of H ϕ K and K. Indian Academy of Sciences, 2015 Convex body nationallicence Orlicz mean body nationallicence shadow system nationallicence DU CHANGMIN Department of Mathematics, Shanghai University, 200444, Shanghai, China aut GUO LUJUN College of Mathematics and Information Science, Henan Normal University, 453007, Xinxiang, China aut LENG GANGSONG Department of Mathematics, Shanghai University, 200444, Shanghai, China aut Proceedings - Mathematical Sciences Springer India 125/1(2015-02-01), 57-70 0253-4142 125:1<57 2015 125 12044 https://doi.org/10.1007/s12044-015-0214-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0214-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- DU CHANGMIN Department of Mathematics, Shanghai University, 200444, Shanghai, China aut NATIONALLICENCE 700 1- GUO LUJUN College of Mathematics and Information Science, Henan Normal University, 453007, Xinxiang, China aut NATIONALLICENCE 700 1- LENG GANGSONG Department of Mathematics, Shanghai University, 200444, Shanghai, China aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/1(2015-02-01), 57-70 0253-4142 125:1<57 2015 125 12044