Euler's constant, new classes of sequences and estimates
-
Alina Sîntamarian
alina.sintamarian@math.utcluj.ro
Downloads
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
Most read articles by the same author(s)
- Ovidiu Furdui, Alina Sîntămărian, Cubic and quartic series with the tail of \(\ln 2\) , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
Similar Articles
- Ruchi Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang, Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Nguyen Buong, Convergence rates in regularization for ill-posed variational inequalities , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Xinhou Hua, R´emi Vaillancourt, Prime Factorization of Entire Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Valery A. Gaiko, Limit Cycles of Li´enard-Type Dynamical Systems , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Muhammad Aslam Noor, Khalida Inayat Noor, Proximal-Resolvent Methods for Mixed Variational Inequalities , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Masaya Kawamura, On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Reji T., Jinitha Varughese, Ruby R., On graphs that have a unique least common multiple , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Vicente Muñoz, Leray-Serre Spectral Sequence for Quasi-Fibrations , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Ismael Bleyer, A. Leitão, On Tikhonov Functionals Penalized by Bregman Distances , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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.
Issue
Section
Articles
