The goal of this note is to improve on the currently available bounds for Stieltjes constants using the method of steepest descent applied by Coffey and Knessl to approximate Stieltjes constants.

翻译：本文旨在利用Coffey和Knessl应用于近似Stieltjes常数的最速下降法，改进当前已知的Stieltjes常数的界。