Abstract
In the paper, the authors investigate properties, including the monotonicity, logarithmic concavity, concavity, and inequalities, of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body.
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Acknowledgements
The first author was partially supported by the National Natural Science Foundation of China under Grant No. 11361038. The second author was supported in part by a grant of the Romanian National Authority for Scientific Research CNCS-UEFISCDI under Grant No. PN-II-ID-PCE-2011-3-0087.
The authors are grateful to the anonymous referees, the Associate Editor and Professor Josselin Garnier (Université Paris-Diderot, France), and Ms. Jun Jiang (Wuhan University of Science and Technology, China) for their careful corrections to and valuable comments on the original version of this paper.
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Communicated by Josselin Garnier.
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Qi, F., Mortici, C. & Guo, BN. Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body. Comp. Appl. Math. 37, 2190–2200 (2018). https://doi.org/10.1007/s40314-017-0448-7
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DOI: https://doi.org/10.1007/s40314-017-0448-7