A new general asymptotic formula and inequalities involving the volume of the unit ball

Abstract

In this paper, based on some early works, we establish a general continued fraction approximation for the nth root of the volume of the unit n-dimensional ball. Then related inequalities are given. Finally, for demonstrating the superiority of our new estimates and inequalities, we present some numerical computations.

Publication
Journal of Number Theory
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Peixuan Zhang
Peixuan Zhang
PhD student

My research interests include stochastic optimization, convex optimization, chance constrained optimization.