Some properties of a function originating from geometric probability for pairs of Hyperplanes intersecting with a convex body

被引：4

作者：

Qi F. ^{[1
,2
]}

Mahmoud M. ^{[3
]}

机构：

[1] Institute of Mathematics, Henan Polytechnic University, Jiaozuo

[2] College of Mathematics, Inner Mongolia University for Nationalities, Tongliao

[3] Department of Mathematics, Faculty of Science, Mansoura University, Mansoura

来源：

Mathematical and Computational Applications | 2016年 / 21卷 / 03期

关键词：

Asymptotic Formula; Complete Monotonicity; Gamma Function; Inequality; Integral Representation; Monotonicity;

D O I：

10.3390/mca21030027

中图分类号：

学科分类号：

摘要：

In the paper, the authors derive an integral representation, present a double inequality, supply an asymptotic formula, find an inequality, and verify complete monotonicity of a function involving the gamma function and originating from geometric probability for pairs of hyperplanes intersecting with a convex body. © 2016 by the authors; licensee MDPI, Basel, Switzerland.

引用

共 15 条

[1]

Zhao J.-F., Xie P., Jiang J., Geometric probability for pairs of hyperplanes intersecting with a convex body, Math. Appl. (Wuhan), 29, pp. 233-238, (2016)

[2]

Guo B.-N., Qi F., On the increasing monotonicity of a sequence originating from computation of the probability of intersecting between a plane couple and a convex body, Turkish J. Anal. Number Theory, 3, pp. 21-23, (2015)

[3]

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[4]

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[5]

Qi F., Mortici C., Guo B.-N., Some properties of a sequence arising from computation of the intersecting probability between a plane couple and a convex body, ResearchGate Res, (2015)

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[7]

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[8]

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[9]

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[10]

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