| dc.creator | Lampret, Vito | |
| dc.date | 2021-12-01 | |
| dc.date.accessioned | 2022-01-03T15:46:53Z | |
| dc.date.available | 2022-01-03T15:46:53Z | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2848 | |
| dc.identifier | 10.4067/S0719-06462021000300357 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/177723 | |
| dc.description | For any \(a\in{\mathbb R}\), for every \(n\in{\mathbb N}\), and for \(n\)-th Wallis' ratio \(w_n:=\prod_{k=1}^n\frac{2k-1}{2k}\), the relative error \(r_{\,\!_0}(a,n):=\big(v_{\,\!_0}(a,n)-w_n^a\big)/w_n^a\) of the approximation \(w_n^a\approx v_{\,\!_0}(a,n):=(\pi n)^{-a/2} \) is estimated as \( \big|r_{\,\!_0}(a,n)\big| < \frac{1}{4n}\). The improvement \(w_n^a\approx v(a,n):=(\pi n)^{-a/2}\left(1-\frac{a}{8n}+\frac{a^2}{128n^2}\right)\) is also studied. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2848/2121 | |
| dc.rights | Copyright (c) 2021 V. Lampret | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 3 (2021); 357–368 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 3 (2021); 357–368 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | approximation | en-US |
| dc.subject | asymptotic | en-US |
| dc.subject | estimate | en-US |
| dc.subject | inequality | en-US |
| dc.subject | power | en-US |
| dc.subject | Wallis’ ratio | en-US |
| dc.title | Basic asymptotic estimates for powers of Wallis’ ratios | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
