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A harmonic mean inequality for the \(q\)-gamma function - MaRDI portal

A harmonic mean inequality for the \(q\)-gamma function (Q2155865)

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A harmonic mean inequality for the \(q\)-gamma function
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    A harmonic mean inequality for the \(q\)-gamma function (English)
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    15 July 2022
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    The authors show that for all \(x > 0,\) the harmonic mean of two certain \(q\)-gamma functions is greater than or equal to \(1\) under some conditions. They illustrate some numerical and algebraic computations as well.
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    \(q\)-gamma function
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    inequalities
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    harmonic mean
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