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
- Chao-Ping Chen, Ai-Qi Liu, Feng Qi, Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Vito Lampret, Basic asymptotic estimates for powers of Wallis‘ ratios , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Gurucharan Singh Saluja, Hemant Kumar Nashine, Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Juliana Conceição Precioso, A Family of Stationary Solutions to the Euler Equations and Generalized Solutions , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Shuichi Otake, Tony Shaska, Some remarks on the non-real roots of polynomials , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Georgi Raikov, Spectral Shift Function for Schr¨odinger Operators in Constant Magnetic Fields , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Ram U. Verma, Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- William Dimbour, Jean-Claude Mado, S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Gen-Qiang Wang, Sui Sun Cheng, Oscillation of second order differential equation with piecewise constant argument , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): 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
