Sharp Estimates of the Generalized Euler-Mascheroni Constant

Ti-Ren Huang, Bo-Wen Han, You-Ling Liu +1

Let $a\in (0,\infty )$, $\gamma (a)$ be the Generalized Euler-Mascheroni Constant, and let \begin{align*} &x_n=\frac1a+\frac{1}{a+1}+\cdots+\frac{1}{a+n-1}-\ln\frac{a+n}{a},\\ &y_n=\frac…