Sharp Inequalities for Factorial N

dc.authorscopusid 15730108100
dc.contributor.author Batir, N.
dc.date.accessioned 2025-05-10T17:06:41Z
dc.date.available 2025-05-10T17:06:41Z
dc.date.issued 2008
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp Batir N., Yuzuncu Yil University, Department of Mathematics, Faculty of Arts and Sciences, Van 65080, Turkey en_US
dc.description.abstract Let n be a positive integer. We prove nn+1e-n√2π/√n-α ≤ n! < nn+1e-n2√2π/√n-β with the best possible constants α = 1- 2π-2 = 0.149663... and β = 1/6 = 0.1666666... This refines and extends a result of Sandor and Debnath, who proved that the double inequality holds with α = 0 and β = 1. en_US
dc.identifier.doi 10.4067/S0716-09172008000100006
dc.identifier.endpage 102 en_US
dc.identifier.issn 0716-0917
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-56149119777
dc.identifier.scopusquality Q3
dc.identifier.startpage 97 en_US
dc.identifier.uri https://doi.org/10.4067/S0716-09172008000100006
dc.identifier.uri https://hdl.handle.net/20.500.14720/6512
dc.identifier.volume 27 en_US
dc.identifier.wosquality N/A
dc.institutionauthor Batir, N.
dc.language.iso en en_US
dc.publisher Universidad Catolica del Norte en_US
dc.relation.ispartof Proyecciones en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Burnside'S Formula en_US
dc.subject Factorial N en_US
dc.subject Gamma Function en_US
dc.subject Stirling'S en_US
dc.title Sharp Inequalities for Factorial N en_US
dc.type Article en_US
dspace.entity.type Publication

Files