A double inequality related with Burnside's formula

Abstract: We prove the following double inequality related with Burnside's formula for n! where the constants a*=0.428844044... and a*=0.5 are the best possible. We believe that the method we used in the proof gives insight to undergraduate students to understand how simple inequalities can...

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Autor principal: Batir,Necdet
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100057
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Sumario:Abstract: We prove the following double inequality related with Burnside's formula for n! where the constants a*=0.428844044... and a*=0.5 are the best possible. We believe that the method we used in the proof gives insight to undergraduate students to understand how simple inequalities can be established.