An inequality involving the gamma and digamma functions
arXiv:1101.4698 · doi:10.1515/jaa-2016-0005
Abstract
In the paper, we establish an inequality involving the gamma and digamma functions and use it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.
7 pages
References in corpus (7)
- Complete monotonicity of some functions involving polygamma functions
- Two new proofs of the complete monotonicity of a function involving the psi function
- Bounds for the ratio of two gamma functions--From Wendel's limit to Elezović-Giordano-Pečarić's theorem
- A logarithmically completely monotonic function involving the ratio of gamma functions
- Sharp inequalities for polygamma functions
- Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions
- Sharp inequalities for the psi function and harmonic numbers