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.
@article{1303,
title = {Euler's constant, new classes of sequences and estimates},
journal = {CUBO, A Mathematical Journal},
volume = {15},
year = {2013},
language = {en},
url = {http://dml.mathdoc.fr/item/1303}
}
Sîntamarian, Alina. Euler's constant, new classes of sequences and estimates. CUBO, A Mathematical Journal, Tome 15 (2013) 18 p. http://gdmltest.u-ga.fr/item/1303/