Improving some sequences convergent to Euler-Mascheroni constant (Q2889739)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Improving some sequences convergent to Euler-Mascheroni constant |
scientific article; zbMATH DE number 6043781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improving some sequences convergent to Euler-Mascheroni constant |
scientific article; zbMATH DE number 6043781 |
Statements
Improving some sequences convergent to Euler-Mascheroni constant (English)
0 references
8 June 2012
0 references
Euler-Mascheroni constant
0 references
harmonic numbers
0 references
inequalities
0 references
asymptotic expansions
0 references
The authors modify the logarithm term of the classical sequence defining the Euler-Mascheroni constant by adding powers of \(n\) and \(n+1/2\) up to the negative fifth power. The speed of convergence of the obtained sequences is computed using a form of Cesàro-Stolz lemma.
0 references
