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Article: L_p-Polar Projection Brunn-Minkowski Inequality
Title | L_p-Polar Projection Brunn-Minkowski Inequality L_p-極投影Brunn-Minkowski不等式 |
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Authors | |
Keywords | q-dual mixed volumes q-對偶混合體積 L_p-polar projection bodies L_p-極投影體 L_p-mixed projection bodies L_p-混合投影體 Brunn-Minkowski inequality Brunn-Minkowski不等式 |
Issue Date | 2010 |
Publisher | Fudan University Press. |
Citation | Chinese Annals of Mathematics, 2010, v. 31 n. 2, p. 239-246 How to Cite? 數學年刊A輯, 2010, v. 31 n. 2, p. 239-246 How to Cite? |
Abstract | In this paper,the authors first generalize the notion of classical dual mixed volume to L_p-space and introduce the notion of q-dual mixed volume.Moreover,they extend the notion of classical L_p(p≥1)-projection bodies and introduce the notions of L_p(p |
Persistent Identifier | http://hdl.handle.net/10722/224744 |
ISSN |
DC Field | Value | Language |
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dc.contributor.author | Zhao, C | - |
dc.contributor.author | Cheung, WS | - |
dc.date.accessioned | 2016-04-14T02:24:02Z | - |
dc.date.available | 2016-04-14T02:24:02Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Chinese Annals of Mathematics, 2010, v. 31 n. 2, p. 239-246 | - |
dc.identifier.citation | 數學年刊A輯, 2010, v. 31 n. 2, p. 239-246 | - |
dc.identifier.issn | 1000-8314 | - |
dc.identifier.uri | http://hdl.handle.net/10722/224744 | - |
dc.description.abstract | In this paper,the authors first generalize the notion of classical dual mixed volume to L_p-space and introduce the notion of q-dual mixed volume.Moreover,they extend the notion of classical L_p(p≥1)-projection bodies and introduce the notions of L_p(p<l)-projection and mixed projection bodies,and establish the Brunn-Minkowski inequality for L_p-polar mixed projection bodies.As applications,the well-known Brunn-Minkowski inequality for polar of projection bodies is generalized and an L_p-polar form of Brunn-Minkowski inequality for projection bodies is obtained. | - |
dc.description.abstract | 將經典的對偶混合體積概念推廣到L_p空間,提出了'q-全對偶混合體積'的概念.將傳統的p≥1的L_p投影體概念拓展,提出p<1時的L_p投影體和混合投影體概念,并且建立了L_p-極投影Brunn-Minkowski不等式.作為應用,推廣了熟知的極投影Brunn-Minkowski不等式,獲得了投影Brunn-Minkowski不等式的L_p空間的極形式. | - |
dc.language | eng | - |
dc.language | chi | - |
dc.publisher | Fudan University Press. | - |
dc.relation.ispartof | Chinese Annals of Mathematics | - |
dc.relation.ispartof | 數學年刊A輯 | - |
dc.subject | q-dual mixed volumes q-對偶混合體積 | - |
dc.subject | L_p-polar projection bodies L_p-極投影體 | - |
dc.subject | L_p-mixed projection bodies L_p-混合投影體 | - |
dc.subject | Brunn-Minkowski inequality Brunn-Minkowski不等式 | - |
dc.title | L_p-Polar Projection Brunn-Minkowski Inequality | - |
dc.title | L_p-極投影Brunn-Minkowski不等式 | - |
dc.type | Article | - |
dc.identifier.email | Cheung, WS: wscheung@hku.hk | - |
dc.identifier.authority | Cheung, WS=rp00678 | - |
dc.identifier.hkuros | 170417 | - |
dc.identifier.volume | 31 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 239 | - |
dc.identifier.epage | 246 | - |
dc.publisher.place | China | - |
dc.identifier.issnl | 1000-8314 | - |