Improvements of bounds for the q-gamma and the $q$-polygamma functions

DOI10.7153/jmi-2017-11-67zbMath1373.33027OpenAlexW2757398044MaRDI QIDQ5365238

Faris Alzahrani, Ahmed Salem

Publication date: 6 October 2017

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2017-11-67

zbMATH Keywords

inequalities\(q\)-gamma functioncompletely monotonic function\(q\)-polygamma functions

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)

Related Items (8)

A harmonic mean inequality for the \(q\)-gamma function ⋮ Two-sided inequality involving the \(q\)-gamma function ⋮ Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Sharp lower and upper bounds for 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 ⋮ Functional inequalities for the \(q\)-digamma function ⋮ Best bounds for the Lambert W functions

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