Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\)
From MaRDI portal
Publication:6067243
DOI10.1186/s13660-023-02933-1OpenAlexW4367844045MaRDI QIDQ6067243
Publication date: 14 December 2023
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-023-02933-1
gamma functioninequalitieslogarithmically completely monotonic functionvolume of the unit \(n\)-dimensional ball
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Inequalities in the complex plane (30A10) Inequalities involving other types of functions (26D07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates of the function and quotient by Minc-Sathre
- A new general asymptotic formula and inequalities involving the volume of the unit ball
- Monotonicity and logarithmic convexity relating to the volume of the unit ball
- Further refinements of Gurland's formula for \({\pi}\)
- An asymptotic approximation of Wallis' sequence
- New approximation formulas for evaluating the ratio of gamma functions
- Refinements of Gurland's formula for pi
- Inequalities and asymptotic expansions related to the volume of the unit ball in \(\mathbb{R}^n\)
- Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function
- The simplex method. A probabilistic analysis
- Special functions of quasiconformal theory
- Completely monotonic and related functions
- Series associated to some expressions involving the volume of the unit ball and applications
- Inequalities for the volume of the unit ball in \(\mathbb{R}^n\)
- A complete monotonicity property of the gamma function
- Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\)
- New bounds and asymptotic expansions for the volume of the unit ball in \(\mathbb{R}^n\) based on Padé approximation
- Padé approximant related to the Wallis formula
- Inequalities for the volume of the unit ball in \(\mathbb{R}^n\). II
- Inequalities and asymptotic expansions associated with the Wallis sequence
- Sharp inequalities and asymptotic expansion associated with the Wallis sequence
- Inequalities for the volume of the unit ball in \(\mathbb R^n\)
- Gurland's ratio for the gamma function
- Integral representation of some functions related to the gamma function
- Some inequalities for the volume of the unit ball
- On Wallis' Formula
- A monotoneity property of the gamma function
- The best bounds in Wallis’ inequality
- New inequalities for the volume of the unit ball in ℝ^n
- A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
