A harmonic mean inequality for the \(q\)-gamma function
From MaRDI portal
Publication:2155865
DOI10.1007/s11139-021-00484-xzbMath1502.33006OpenAlexW3190694300MaRDI QIDQ2155865
Publication date: 15 July 2022
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-021-00484-x
(q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions
- On an iteration leading to a \(q\)-analogue of the digamma function
- The \(q\)-gamma function for \(q>1\)
- A harmonic mean inequality for the gamma function
- On Gautschi's harmonic mean inequality for the gamma function
- Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function
- An infinite class of completely monotonic functions involving the \(q\)-gamma function
- A certain class of approximations for the \(q\)-digamma function
- Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function
- Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\)
- Monotonic functions related to the \(q\)-gamma function
- Some classes of completely monotonic functions related to q-gamma and q-digamma functions
- Theq-Gamma andq-Beta Functions†
- Inequalities for the gamma function
- Inequalities and monotonicity properties for gamma and q-gamma functions
- ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHI
- Sharp lower and upper bounds for the q-gamma function
- Improvements of bounds for the q-gamma and the $q$-polygamma functions
- A Harmonic Mean Inequality for the Gamma Function
This page was built for publication: A harmonic mean inequality for the \(q\)-gamma function
