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Journal of inequalities and applications
2018;2018 (1): 118.

Optimal bounds for the generalized Euler-Mascheroni constant.

Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu
Author Information
  1. Ti-Ren Huang: 1Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, China.
  2. Bo-Wen Han: 1Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, China.
  3. Xiao-Yan Ma: 1Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, China.
  4. Yu-Ming Chu: 2Department of Mathematics, Huzhou University, Huzhou, China.
PMID: 29805238 DOI: 10.1186/s13660-018-1711-1

Abstract

We provide several sharp upper and lower bounds for the generalized Euler-Mascheroni constant. As consequences, some previous bounds for the Euler-Mascheroni constant are improved.

Keywords

Asymptotic formula Euler���Mascheroni constant gamma function psi function
Journal Article

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