A new sequence related to the Euler–Mascheroni constant

Abstract

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.

Keywords

• Sequences
• Euler–Mascheroni constant
• Rate of convergence
• Lower and upper bounds