Inequalities for the Gamma function and estimates for the volume of sections of <IMG >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Inequalities for the Gamma function and estimates for the volume of sections of

Authors:	Jesú s Bastero Fernando Galve Ana Peñ a Miguel Romance

Affiliation:	Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain ; Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain ; Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain ; Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

Abstract:	Let $B^n_p={(x_i)inmathbb{R}^n;sum_1^nvert x_ivert^pleq1}$ and let be a -dimensional subspace of $mathbb{R}^n$ . We prove that $vert Ecap B^n_pvert _k^{1/k}geq vert B^n_pvert _n^{1/n}$ , for and whenever . We also consider and other related cases. We obtain sharp inequalities involving Gamma function in order to get these results.

Keywords:	Gamma function inequalities sections of convex bodies

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