A new sequence related to the Euler–Mascheroni constant

Journal of Inequalities and Applications

Gabriel Bercu¹  Shanhe Wu² 

[1] Department of Mathematics and Computer Sciences, “Dunărea de Jos” University of Galaţi;Department of Mathematics, Longyan University;

关键词: Sequences;    Euler–Mascheroni constant;    Rate of convergence;    Lower and upper bounds;   

DOI  :  10.1186/s13660-018-1746-3

来源: DOAJ

【 摘 要 】

Abstract In this paper, we provide a new quicker sequence convergent to the Euler–Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence. Moreover, we establish lower and upper bound estimates for the difference between the sequence and the Euler–Mascheroni constant.

【 授权许可】

Unknown