n维单形的体积比

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摘要给出了单形体积比的计算公式,得出了其渐进性质,计算了部分单形的体积比。 A calculation formula of simplex volume ratio was given, so that we can calculate its asymptotic property and some values of volume ratios.

作者英起志

机构地区江苏商贸职业学院

出处《高教学刊》 2016年第23期263-264,共2页 Journal of Higher Education

关键词 N维单形 John椭球体积比 dimension simplex John ellipsoid volume ratio

分类号 O186.5 [理学—基础数学]

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参考文献6

1John F.Extremum problems with inequalities assubsidiary conditions[M].Courant Anniversary Volume.New York:Interscience,1948:187-204.
2R Howard.The John ellipsoid theorem[D].University of South Carolina,1997.
3Keith Ball.Volume ratios and a reverse isoperimetric inequality[J].Journal of the London Mathematical Society,1991,4:351-359.
4张素玲,陈超平,祁锋.关于伽玛函数的单调性质(英文)[J].大学数学,2006,22(4):50-55. 被引量：6
5Keith Ball.Volumes of sections of cubes and related problem[J].Geometric Aspects of Functional Analysis,1989,1376:251-260.
6Keith Ball.Ellipsoids of maximal volume in convex bodies[J].Geometriae Dedicata,1992,41(2):241-250.

二级参考文献10

1Widder D V.The Laplace Transform[M].Princeton,Princeton Univ.Press:NJ,1941.
2Qi Feng,Chen Chao-ping.A complete monotonicity property of the Gamma function[J].J.Math.Anal.Appl,2004,296(2):603-607.
3Davis P J.Leonhard Euler's integral:A historical profile of the Gamma function[J].Amer.Math.monthly,1959,66(10):849-869.
4Magnus W,Oberhettinger F,Soni R P.Formulas and Theorems for the Special Functions of Mathematical Physics[M].Berlin:Springer,1966.
5Anderson G D,Qiu Song-liang.A monotonicity property of the Gamma function[J].Proc.Amer.Math.Soc,1997,125(11):3355-3362.
6Anderson G D,Vamanamurthy M K,Vuorinen M.Inequalities for quasiconformal mappings in space[J].Pacific J.Math,1993,160(1):1-18.
7Elezovic N,Giordano C,Pecaric J.The best bounds in Gautschi's inequality[J].Math.Inequal.Appl,2000,3(2):239-252.
8Abramowitz M,Stegun I A (Eds).Handbook of Mathematical Functions with Formulas,Graphs,and Mathematical Tables[M].Washington:National Bureau of Standards,Applied Mathematics Series 55,(4th printing with corrections),1965.
9Xu Xiao-ling,Wang Rong-hua,Fei He-liang.Some properties of Gamma function[J].J.Shanghai Teachers Univ,2000,29(2):17-23.
10Sandor J.On a limit involving the Euler-Gamma function[J].Octogon Math.Mag,2004,11(1):262-264.

共引文献5

1马堃,褚园,焦铮.夫琅禾费圆孔衍射光强分布的研究[J].黄山学院学报,2011,13(5):16-19. 被引量：5
2谭雪梅,侯秀梅.Γ函数在概率统计中的应用[J].高等数学研究,2015,18(4):48-49.
3英起志.n维超平形体的体积比[J].高教学刊,2016,2(22):253-253.
4苏文华,尹枥.联系着广义gamma函数的Raabe型积分[J].大学数学,2023,39(3):73-76.
5谭雪梅,侯秀梅.伽玛函数在概率统计中的应用分析[J].武汉生物工程学院学报,2014,0(2):107-109.

1英起志.n维超平形体的体积比[J].高教学刊,2016,2(22):253-253.
2刘旭飞,汪卫,冷岗松.关于超平行体两类椭球为球的条件[J].上海大学学报（自然科学版）,2009,15(1):17-19.
3马统一.L_p-John椭球的极值性质[J].数学进展,2013,42(3):369-380.
4贺汕森.凸体的L_p John椭球与其L_p迷向性[J].应用数学与计算数学学报,2016,30(3):332-338.
5熊革,胡家麒.凸体的对偶迷向常数与LYZ椭球[J].数学学报（中文版）,2014,57(5):947-960.

高教学刊

2016年第23期

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n维单形的体积比

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