Anderson and Qiu (1997) conjectured that the function log Gamma(x+1)/x log x is concave for x > 1. In this paper we prove this conjecture. We also study the monotonicity of some functions connected with the psi-function (x) and derive inequalities for psi(x) and psi'(x).
引用
收藏
页码:2667 / 2673
页数:7
相关论文
共 5 条
[1]
Abramowitz M., 1965, HDB MATH FUNCTIONS F, DOI DOI 10.1119/1.15378