Journal of Shanghai University（Natural Science Edition） ›› 2009, Vol. 15 ›› Issue (1): 14-16.
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
Online:
Published:
Abstract:
The Banach-Mazur distance, defined by homothetic transformation, between two different unit balls in lnp-space is shown with optimization calculation. Compared to the Banach-Mazur distance, it shows distance between convex bodies without any rotation. The result is applied to estimate the Gaussian measure of unit balls in the lnp-space.
Key words: Gaussian measure;lnpspace; Banach-Mazur distance; asymptotic property
CLC Number:
O 186.5
MA Dan,HE Bin-wu. Distance between Unit Balls in lnp-Space and Its Application[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(1): 14-16.
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https://www.journal.shu.edu.cn/EN/Y2009/V15/I1/14
