On some inequalities involving \((n!)^{1/n}\)

DOI10.1216/rmjm/1181072377zbMath0826.26005OpenAlexW2001479529MaRDI QIDQ1343993

Horst Alzer

Publication date: 16 November 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072377

zbMATH Keywords

gamma functioninequalitiespositive integers

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving other types of functions (26D07)

Related Items

Estimates of the function and quotient by Minc-Sathre, Asymptotic expansions and inequalities relating to the gamma function, GA-convexity and its applications, An extension of an inequality for ratios of gamma functions, Sharp inequalities involving \((n!)^{1/n}\), Multiplicative convexity and its applications

Cites Work

• Upper bounds for permanents of $\left( {0,\,1} \right)$-matrices
• Some Inequalities involving (r!)^1/r