Feng Qi
Published 2011-04-22Version 1
In the article we present necessary and sufficient conditions for a function involving the logarithm of the gamma function to be completely monotonic and apply these results to bound the gamma function $\Gamma(x)$, the $n$-th harmonic number $\sum_{k=1}^n\frac1k$, and the factorial $n!$.
Complete monotonicity of a function involving a ratio of gamma functions and applications
A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications
Some inequalities for differentiable convex functions with applications
![QR code for arXiv:1104.4442 [math.CA]](http://oss.arxitics.com/images/favicon.svg)