Atlantis Institut des Sciences Fictives

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)
Exportado de SIDERAL (2019-07-09-12:21:53)


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