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FUNCTIONAL INEQUALITIES FOR THE q-DIGAMMA FUNCTION

Acta Mathematica Hungarica, 2022
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Alzer, H., Salem, A.
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Mean Value Inequalities for the Digamma Function

Analysis Mathematica, 2023
Let \(\psi\) be the digamma function. The authors give an upper estimate for \((b-a)\psi(\sqrt{ab})\) and a lower estimate for \((b-a)\psi((a+b)/2)\) in terms of the logarithmic mean \(L(a,b):=(b-a)/\log(b/a)\). \par For all real numbers \(a\) and \(b\) with \(b>a\ge \alpha_0\) we have \[ (b-a)\psi(\sqrt{ab})a>0\) we have \[\left(L(a,b)-a\right)\psi(a)+
Alzer, H., Kwong, M. K.
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A Fast Algorithm for Computing the Digamma Function

Automation and Remote Control, 2022
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