Volume of unit ball in an n-dimensional normed space and its asymptotic properties
Tóm tắt
Let B
= {x ∈ R
n
|∥x∥
p
⩽ 1} be the unit ball of p norm in the n-dimensional normed space
$$
\ell _p^n
$$
. The formula for the volume of B
was obtained and its asymptotic properties were found out as n → ∞ and p → ∞.
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