• Corpus ID: 12427391

# Monotonicity Results For The Gamma Function

```@article{Chen2002MonotonicityRF,
title={Monotonicity Results For The Gamma Function},
author={Chao Chen and Feng Qi (祁锋)},
journal={Journal of Inequalities in Pure \& Applied Mathematics},
year={2002},
volume={4}
}```
• Published 2002
• Mathematics
• Journal of Inequalities in Pure & Applied Mathematics
The function 1/x x+1 is strictly decreasing on[1,∞), the function [Γ(x+1)]1/x √ x is strictly increasing on[2,∞), and the function 1/x √ x+1 is strictly increasing on[1,∞), respectively. From these, some inequalities, for example, the Minc-Sathre inequality, are deduced, and two open problems posed by the second author are solved partially.
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