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- W2905195286 abstract "We improve the upper bounds of the following inequalities proved in [H. Alzer and N. Batir, Monotonicity properties of the gamma function, Appl. Math. Letters, 20(2007), 778-781]. begin{equation*} expleft(-frac{1}{2}psileft(x+frac{1}{3}right)right)<frac{Gamma(x)}{sqrt{2pi}x^xe^{-x}}<expleft(-frac{1}{2}psi(x)right), end{equation*} and $$ frac{1}{2}psi'(x+1/3))<log x-psi(x)<frac{1}{2}psi'(x).$$ Here $Gamma$ is the classical gamma function and $psi$ is the digamma function." @default.
- W2905195286 created "2018-12-22" @default.
- W2905195286 creator A5008046089 @default.
- W2905195286 date "2018-12-13" @default.
- W2905195286 modified "2023-09-27" @default.
- W2905195286 title "Inequalities involving the gamma and digamma functions" @default.
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