000069700 001__ 69700 000069700 005__ 20190709135609.0 000069700 0247_ $$2doi$$a10.1186/s13660-017-1507-8 000069700 0248_ $$2sideral$$a104712 000069700 037__ $$aART-2017-104712 000069700 041__ $$aeng 000069700 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, J.A.$$uUniversidad de Zaragoza 000069700 245__ $$aMonotone and fast computation of Euler’s constant 000069700 260__ $$c2017 000069700 5060_ $$aAccess copy available to the general public$$fUnrestricted 000069700 5203_ $$aWe 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. 000069700 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P 000069700 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000069700 590__ $$a0.966$$b2017 000069700 591__ $$aMATHEMATICS$$b79 / 309 = 0.256$$c2017$$dQ2$$eT1 000069700 591__ $$aMATHEMATICS, APPLIED$$b130 / 252 = 0.516$$c2017$$dQ3$$eT2 000069700 592__ $$a0.546$$b2017 000069700 593__ $$aApplied Mathematics$$c2017$$dQ2 000069700 593__ $$aDiscrete Mathematics and Combinatorics$$c2017$$dQ3 000069700 593__ $$aAnalysis$$c2017$$dQ3 000069700 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000069700 700__ $$0(orcid)0000-0001-6555-4432$$aLekuona, A.$$uUniversidad de Zaragoza 000069700 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera. 000069700 773__ $$g2017 (2017), 224 [9 pp]$$pJ. inequal. appl.$$tJOURNAL OF INEQUALITIES AND APPLICATIONS$$x1025-5834 000069700 8564_ $$s1345725$$uhttps://zaguan.unizar.es/record/69700/files/texto_completo.pdf$$yVersión publicada 000069700 8564_ $$s72911$$uhttps://zaguan.unizar.es/record/69700/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000069700 909CO $$ooai:zaguan.unizar.es:69700$$particulos$$pdriver 000069700 951__ $$a2019-07-09-12:21:53 000069700 980__ $$aARTICLE