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20102024
most citedTopology of the correlation networks among major currencies using hierarchical structure methods

103 citations

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math.CA2018

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}\…

math.CA2017

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}(…

math.CA2017★ 1 cited

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(…