论文信息 - SHARP INEQUALITIES FOR FACTORIAL n

SHARP INEQUALITIES FOR FACTORIAL n

Let n be a positive integer. We provewith the best possible constantsα = 1 - 2πe-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.

Necdet Batir | Necdet Batır

[1] I. Kubota. On the Rapidly Convergent Series for logN , 1957 .

[2] H. Grauert,et al. Differential- und Integralrechnung II , 1968 .

[3] N. Mermin. Improving an improved approximation to n , 1983 .

[4] Yitzhak Weissman. An improved analytical approximation to n , 1983 .

[5] Lokenath Debnath,et al. On Certain Inequalities Involving the Constant e and Their Applications , 2000 .

[6] W. Schuster. Improving Stirling's formula , 2001 .

[7] E. A. Karatsuba,et al. On the asymptotic representation of the Euler gamma function by Ramanujan , 2001 .

[8] Ekatharine A. Karatsuba,et al. On the computation of the Euler constant γ , 2000, Numerical Algorithms.