Inequalities for the gamma function and estimates for the volume of sections of Bnp

被引：10

作者：

Bastero, J ^{[1
]}

Galve, F ^{[1
]}

Peña, A ^{[1
]}

Romance, M ^{[1
]}

机构：

[1] Univ Zaragoza, Fac Ciencias, Dept Matemat, E-50009 Zaragoza, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 01期

关键词：

Gamma function; inequalities; sections of convex bodies;

D O I：

10.1090/S0002-9939-01-06139-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B-p(n)= {(x(i)) is an element of R-n; Sigma (n)(1) \x(i)\(p) less than or equal to 1} and let E be a k-dimensional subspace of R-n. We prove that \E boolean AND B-p(n) \(1/k)(k) greater than or equal to \B-p(n)\(1/n)(n), for 1 less than or equal to k less than or equal to (n - 1)/2 and k = n - 1 whenever 1 < p < 2. We also consider 0 < p < 1 and other related cases. We obtain sharp inequalities involving Gamma function in order to get these results.

引用

页码：183 / 192

页数：10

共 13 条

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