Euler's constant, new classes of sequences and estimates
-
Alina Sîntamarian
alina.sintamarian@math.utcluj.ro
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Abstract
We give two classes of sequences with the argument of the logarithmic term modified and also with some additional terms besides those in the definition sequence, and that converge quickly to 
, where 
. We present the pattern in forming these sequences, expressing the coefficients that appear with the Bernoulli numbers. Also, we obtain estimates containing best constants for 
and 
, where 
is the Euler's constant.
Keywords
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Published
2013-10-01
How to Cite
[1]
A. Sîntamarian, “Euler’s constant, new classes of sequences and estimates”, CUBO, vol. 15, no. 3, pp. 105–122, Oct. 2013.
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