A double inequality related with Burnside’s formula.

• Autores: Necdet Batir
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 1, 2018, págs. 57-61
• Idioma: inglés
• DOI: 10.4067/s0716-09172018000100057
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• Resumen

  • 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.

• Referencias bibliográficas
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  • C-P Chen, On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas, Appl. Math. Comp., 276, pp....
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