|Table of Contents|

A Mixed Arithmetic-Mean-Harmonic-Mean Inequality for Star Bodies(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年02期
Page:
18-20
Research Field:
数学
Publishing date:

Info

Title:
A Mixed Arithmetic-Mean-Harmonic-Mean Inequality for Star Bodies
Author(s):
Yuan JunZhao Lingzhi
School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171,China
Keywords:
star body star dual m ixed m ean
PACS:
O178
DOI:
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Abstract:
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References:

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[ 2] H u Y J, Zhang X P, Yang Z H. M ixed m ean inequa lities for severa l positive defin ite m atr ices[ J]. L inea rA lgebra App,l 2005, 395: 247-263.
[ 3] Kedlaya K. Proof o f a m ixed ar ithm etic-m ean, geome tr ic-mean inequa lity[ J]. Am erM athM on th ly, 1994, 101: 355-357.
[ 4] M ond B, J. A m ixed ar ithm etic-m ean harmon ic-mean m atrix inequa lity[ J]. L inea rA lgebraApp,l 1996, 237 /238: 449-454.
[ 5] 孙燮华. 关于混合算术平均-几何平均不等式[ J] . 中国计量学院学报, 2002, 13( 1): 26-28.
[ 6] Yuan Jun, L iA ijun. Geome tr ic version o fm ixed m ean inequalities[ J]. Tamkang JM ath, 2009, 40( 2) : 129-137.
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[ 8] Schneider R. Convex Bod ies: The Brunn-M inkowsk iTheory [M ]. Cam br idge: Cambr idge University Press, 1993.
[ 9] M oszy?skaM. Quotient sta r bod ies, in tersection bodies and star duality[ J]. JM ath Ana lApp,l 1999, 232( 1): 45-60.
[ 10] M oszy?skaM. Selected Topics in Convex Geom etry[M ] . Berlin: Spr ing erVe rlag, 2005.
[ 11] Beckenbach E F, Bellm an R. Inequalities[M ]. Ber lin: Springer, 1961.
[ 12] H ardy G H, Littlewood J E, Plya G. Inequalities[M ]. 2nd ed. C amb ridge: C am bridgeUn ive rsity Press, 1952.
[ 13] 袁俊. Lp 逆等周不等式[ J]. 南京师大学报: 自然科学版, 2009, 32( 2): 22-24.
[ 14] 朱先阳, 冷岗松. 混合新几何体# (-p, i )K 的不等式[ J]. 数学学报, 2008, 51( 4): 787-794.

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Last Update: 2013-04-08