Monotonicity and logarithmic convexity relating to the volume of the unit ball
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Publication:360490
DOI10.1007/s11590-012-0488-2zbMath1276.26029arXiv0902.2509OpenAlexW1983464594MaRDI QIDQ360490
Publication date: 27 August 2013
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.2509
Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)
Related Items
Topics in Special Functions III ⋮ Monotonicity and logarithmic convexity relating to the volume of the unit ball ⋮ Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\) ⋮ A completely monotonic function used in an inequality of Alzer ⋮ Complete monotonicity of a function involving the ratio of gamma functions and applications ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Inequalities and asymptotic expansions related to 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 ⋮ Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem ⋮ Some inequalities for the volume of the unit ball
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