Estimates of the function and quotient by Minc-Sathre
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Publication:298791
DOI10.1016/j.amc.2014.12.080zbMath1338.33008OpenAlexW1983923852MaRDI QIDQ298791
Publication date: 21 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.080
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Functional inequalities, including subadditivity, convexity, etc. (39B62)
Related Items (8)
New bounds and asymptotic expansions for the volume of the unit ball in \(\mathbb{R}^n\) based on Padé approximation ⋮ Asymptotic expansions and inequalities relating to the gamma function ⋮ A new general asymptotic formula and inequalities involving the volume of the unit ball ⋮ Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\) ⋮ Series associated to some expressions involving the volume of the unit ball and applications ⋮ Inequalities and asymptotic expansions related to the volume of the unit ball in \(\mathbb{R}^n\) ⋮ Sharp inequalities involving \((n!)^{1/n}\) ⋮ An inequality for the gamma function via statistics and applications
Cites Work
- Ramanujan formula for the generalized Stirling approximation
- New improvements of the Stirling formula
- Special functions of quasiconformal theory
- On an inequality of H. Minc and L. Sathre
- On some inequalities involving \((n!)^{1/n}\). II
- On some inequalities involving \((n!)^{1/n}\)
- Inequalities for the volume of the unit ball in \(\mathbb{R}^n\)
- A continued fraction approximation of the gamma function
- Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\)
- A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space
- Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces
- Permanents
- On some inequalities for the gamma and psi functions
- Upper bounds for permanents of $\left( {0,\,1} \right)$-matrices
- Some Inequalities involving (r!)1/r
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