Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant
Abstract In this paper, we provide an estimate for approximating the generalized-Euler-constant function γ(z)=∑k=1∞zk−1(1k−lnk+1k) $\gamma (z)=\sum_{k=1}^{\infty }z ^{k-1} (\frac{1}{k}-\ln \frac{k+1}{k} )$ by its partial sum γN−1(z) $\gamma _{N-1}(z)$ when 0<z<1 $0< z<1$. We obtain an as...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2153-0 |