Convexity and \(q\)-gamma function

DOI10.1007/BF02857304zbMath0940.33008OpenAlexW2323938197MaRDI QIDQ1303894

Neven Elezović, Carla Giordano, Josip E. Pečarić

Publication date: 22 September 1999

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02857304

zbMATH Keywords

convexitycompletely monotonic functions

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (7)

A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions ⋮ Sharp lower and upper bounds for the q-gamma function ⋮ Completely monotonic functions related to the gamma and the \(q\)-gamma functions ⋮ An infinite class of completely monotonic functions involving the \(q\)-gamma function ⋮ Complete Monotonicity property for two functions related to the q-digamma function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function ⋮ Completely monotonic functions related to the q-gamma and the q-trigamma functions

Cites Work

• Completely monotonic functions associated with the gamma function and its q-analogues
• Kolmogorov-Landau inequalities for monotone functions
• Supplements to known inequalities for some special functions
• Some inequalities for starshaped and convex functions
• On Gamma Function Inequalities
• From Wythoff's Nim to Chebyshev's Inequality
• A geometric mean inequality and some monotonicity results for the q-Gamma function
• Inequalities and monotonicity properties for gamma and q-gamma functions
• Stolarsky's Inequality with General Weights
• Analytic Inequalities
• On some inequalities for the gamma and psi functions
• Some Inequalities involving (r!)^1/r
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convexity and \(q\)-gamma function