在n维赋范空间中单位球体积及其渐进性质(英文)

Volume of unit ball in an n-dimensional normed space and its asymptotic properties

让 B p n ={ x ∈ R n |∥x∥ p ⩽1 } 是在 n 维的 normed 空间的 p 标准的联合起来的球。为 B p n 被获得，它的 asymptotic 性质作为 n → 被发现∞ 并且 p → ∞ 。

Let Bp^n={x∈R^b｜‖x‖p≤1} be the unit ball of p norm in the n-dimensional normed space εp＆n.The formula for the volume of Bp^n was obtained and its asymptotic properties were found out as n→∞and p→∞.