24 citations · 33 across the 13 of their papers we have counts for
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An alternating proof of sharp inequalities related with Burnside's formula
Necdet Batir
We provide an alternating proof of sharp inequalities related with Burnside's formula for
Inequalities involving the gamma and digamma functions
Necdet Batir
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].…
Sharp inequalities related with Burnside's formula
Necdet Batir
We prove the following double inequality related with Burnside's formula for \begin{equation*} \sqrt{2π}\left(\frac{n+a_*}{e}\right)^{n+a_*}<n!<\sqrt{2π}\left(\frac{n+a^*}{e}\…
Inequalities for the inverses of the polygamma functions
Necdet Batir
We provide an elementary proof of the left side inequality and improve the right inequality in \bigg[\frac{n!}{x-(x^{-1/n}+α)^{-n}}\bigg]^{\frac{1}{n+1}}&<((-1)^{n-1}ψ^{(n)})^{-1}(…
Bounds for the gamma function
Necdet Batir
We improve the upper bound of the following inequalities for the gamma function due to H. Alzer and the author. \begin{equation*} \exp\left(-\frac{1}{2}ψ(x+1/3)\right)<\frac{Γ(…