A series of sequences convergent to Euler's constant

作者：Jia, Li-Jiang; Ge, Bin^*; Liu, Li-Li; Ran, Yi

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018, 2018(1): 136.

DOI：10.1186/s13660-018-1727-6

• Euler's constant
• Rate of convergence
• Asymptotic expansion

In this paper, using continued fraction, we provide a new quicker sequence convergent to Euler's constant. We demonstrate the superiority of our new convergent sequences over DeTemple's sequence, Mortici's sequences, Vernescu's sequence, and Lu's sequence.

• 出版日期2018-6-19
• 单位哈尔滨工程大学