Monotone and fast computation of Euler’s constant
Adell, J.A. (Universidad de Zaragoza) ; Lekuona, A. (Universidad de Zaragoza)
Resumen: We construct sequences of finite sums (l˜n)n=0 and (u˜n)n=0 converging increasingly and decreasingly, respectively, to the Euler-Mascheroni constant ¿ at the geometric rate 1/2. Such sequences are easy to compute and satisfy complete monotonicity-type properties. As a consequence, we obtain an infinite product representation for 2 ¿ converging in a monotone and fast way at the same time. We use a probabilistic approach based on a differentiation formula for the gamma process.
Idioma: Inglés
DOI: 10.1186/s13660-017-1507-8
Año: 2017
Publicado en: JOURNAL OF INEQUALITIES AND APPLICATIONS 2017 (2017), 224 [9 pp]
ISSN: 1025-5834
Factor impacto JCR: 0.966 (2017)
Categ. JCR: MATHEMATICS rank: 79 / 309 = 0.256 (2017) - Q2 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 130 / 252 = 0.516 (2017) - Q3 - T2
Factor impacto SCIMAGO: 0.546 - Applied Mathematics (Q2) - Discrete Mathematics and Combinatorics (Q3) - Analysis (Q3)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P
Tipo y forma: Article (Published version)
Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Exportado de SIDERAL (2019-07-09-12:21:53)
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Idioma: Inglés
DOI: 10.1186/s13660-017-1507-8
Año: 2017
Publicado en: JOURNAL OF INEQUALITIES AND APPLICATIONS 2017 (2017), 224 [9 pp]
ISSN: 1025-5834
Factor impacto JCR: 0.966 (2017)
Categ. JCR: MATHEMATICS rank: 79 / 309 = 0.256 (2017) - Q2 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 130 / 252 = 0.516 (2017) - Q3 - T2
Factor impacto SCIMAGO: 0.546 - Applied Mathematics (Q2) - Discrete Mathematics and Combinatorics (Q3) - Analysis (Q3)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P
Tipo y forma: Article (Published version)
Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Exportado de SIDERAL (2019-07-09-12:21:53)
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Record created 2018-04-11, last modified 2019-07-09