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Math. Comput. Appl. 2016, 21(3), 27; doi:10.3390/mca21030027

Some Properties of a Function Originating from Geometric Probability for Pairs of Hyperplanes Intersecting with a Convex Body

1
Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
2
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
3
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
*
Author to whom correspondence should be addressed.
Academic Editor: Fazal Mahomed
Received: 16 May 2016 / Revised: 6 June 2016 / Accepted: 13 June 2016 / Published: 29 June 2016
View Full-Text   |   Download PDF [238 KB, uploaded 29 June 2016]

Abstract

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. View Full-Text
Keywords: gamma function; complete monotonicity; inequality; asymptotic formula; integral representation; monotonicity gamma function; complete monotonicity; inequality; asymptotic formula; integral representation; monotonicity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Qi, F.; Mahmoud, M. Some Properties of a Function Originating from Geometric Probability for Pairs of Hyperplanes Intersecting with a Convex Body. Math. Comput. Appl. 2016, 21, 27.

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