Some New Inequalities for Gamma and Polygamma Functions

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Batir, Necdet (2004) Some New Inequalities for Gamma and Polygamma Functions. Research report collection, 7 (3).


In this paper we derive some new inequalities involving the gamma function Γ, polygamma functions ψ = Γ'/Γ and ψ'. We also obtained two new sequences converging to Euler-Mascheroni constant γ very quickly. The method we use is new and can be applied to other similar problems.

Item type Article
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords digamma function, psi function, polygamma function, gamma function, inequalities, Euler's constant, completely monotonicity
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