Mostrar el registro sencillo del ítem
Artículo
A proof of a trigonometric inequality. A glimpse inside the mathematical kitchen
dc.creator | Arias de Reyna Martínez, Juan | es |
dc.creator | Lune, Jan van de | es |
dc.date.accessioned | 2016-04-25T11:29:16Z | |
dc.date.available | 2016-04-25T11:29:16Z | |
dc.date.issued | 2011-09 | |
dc.identifier.citation | Arias de Reyna Martínez, J. y Van de Lune, J. (2011). A proof of a trigonometric inequality. A glimpse inside the mathematical kitchen. Journal of Mathematical Inequalities, 5 (3), 341-353. | es |
dc.identifier.issn | 1846-579x | es |
dc.identifier.issn | 1848-9575 | es |
dc.identifier.uri | http://hdl.handle.net/11441/40416 | |
dc.description.abstract | We prove the inequality ∞ ∑ k=1(−1) k+1 rk cos kφ k+2 < ∞ ∑ k=1 (−1) k+1 rk k+2 for 0 < r 1 and 0 < φ < π . For the case r = 1 we give two proofs. The first one is by means of a general numerical technique (Maximal Slope Principle) for proving inequalities between elementary functions. The second proof is fully analytical. Finally we prove a general rearrangement theorem and apply it to the remaining case 0 < r < 1. Some of these inequalities are needed for obtaining general sharp bounds for the errors committed when applying the Riemann-Siegel expansion of Riemann’s zeta function. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Journal of Mathematical Inequalities, 5(3), 341-353 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A proof of a trigonometric inequality. A glimpse inside the mathematical kitchen | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2009-08934 | es |
dc.relation.publisherversion | http://files.ele-math.com/articles/jmi-05-30.pdf | |
dc.identifier.doi | 10.7153/jmi-05-30 | es |
idus.format.extent | 13 p. | es |
dc.journaltitle | Journal of Mathematical Inequalities | es |
dc.publication.volumen | 5 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 341 | es |
dc.publication.endPage | 353 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40416 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
A proof of a trigonometric ... | 209.4Kb | [PDF] | Ver/ | |