Title
Limits and inequalities associated with the Euler-Mascheroni constant
Abstract
(i) We present several limits associated with the Euler-Mascheroni constant. (ii) Let @c=0.577215... be the Euler-Mascheroni constant, and let T"n=@?"k"="1^n1k-lnn+12+124n and P"n=@?"k"="1^n22k-1-ln(4n). We determine the best possible constants @a,@b,a and b such that the inequalities148(n+@a)^3==1.
Year
DOI
Venue
2013
10.1016/j.amc.2013.03.089
Applied Mathematics and Computation
Keywords
Field
DocType
possible constant,inequality,euler mascheroni constant,harmonic numbers,asymptotic expansion
Mathematical optimization,Mathematical analysis,Harmonic number,Asymptotic expansion,Mathematics,Euler–Mascheroni constant
Journal
Volume
Issue
ISSN
219
18
0096-3003
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Chao-Ping Chen15812.24
Cristinel Mortici226739.13