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
- Anthony Sofo, Families of skew linear harmonic Euler sums involving some parameters , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Koji Aoyama, Yasunori Kimura, Viscosity approximation methods with a sequence of contractions , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- M. Mohammed Abdul Khayyoom, Characterization of Upper Detour Monophonic Domination Number , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Razvan A. Mezei, Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Tomonari Suzuki, Browder Convergence and Mosco Convergence for Families of Nonexpansive Mappings , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Multiple general sigmoids based Banach space valued neural network multivariate approximation , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- J. Marshall Ash, Uniqueness for higher dimensional trigonometric series , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- George A. Anastassiou, Higher order multivariate Fuzzy approximation by basic neural network operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- George A. Anastassiou, Right general fractional monotone approximation , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): 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
