Some classes of completely monotonic functions related to q-gamma and q-digamma functions

DOI10.7153/MIA-19-62zbMath1351.33016OpenAlexW2515435213MaRDI QIDQ2830465

Ahmed Salem

Publication date: 28 October 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/mia-19-62-abs.pdf

zbMATH Keywords

inequalities\(q\)-gamma functioncompletely monotonic functions\(q\)-digamma functionlogarithmically completely monotonic functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (6)

A harmonic mean inequality for 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

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