Some quicker continued fraction approximations and inequalities towards Euler's constant
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DOI: 10.1016/j.jnt.2016.11.024
Abstract: Abstract In this paper, we define some new continued fraction sequences towards Euler's constant and two related inequalities. We also present some numerical simulations to demonstrate the superiority of the optimal new sequences over new… read more here.
Keywords: continued fraction; approximations inequalities; towards euler; euler constant ... See more keywords
Monotone and fast computation of Euler’s constant
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1507-8
Abstract: We construct sequences of finite sums (l˜n)n≥0$(\tilde{l}_{n})_{n\geq 0}$ and (u˜n)n≥0$(\tilde{u}_{n})_{n\geq 0}$ converging increasingly and decreasingly, respectively, to the Euler-Mascheroni constant γ at the geometric rate 1/2. Such sequences are easy to compute and satisfy complete… read more here.
Keywords: fast computation; monotone fast; computation euler; euler constant ... See more keywords
On a general inequality related to the generalized-Euler-constant function
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2020-14-38
Abstract: Let γ(z) be the generalized-Euler-constant function. In this paper, we establish a general inequality related to γ(z) , which contains a result due to Chen and Han as a special case. We also obtain an… read more here.
Keywords: general inequality; constant function; generalized euler; euler constant ... See more keywords