In this paper, we establish an asymptotic expansion for the Euler–Mascheroni constant. Based on this expansion, we establish a two-sided inequality and a continued fraction approximation for the Euler–Mascheroni constant.

中文翻译：

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欧拉-马斯切罗尼常数的近似值

在本文中，我们建立了欧拉-马斯切罗尼常数的渐近展开式。基于这种展开式，我们建立了欧拉-马斯切罗尼常数的两侧不等式和连分数近似。