Complete monotonicity of a function related to the binomial probability

DOI10.1016/j.jmaa.2017.10.077zbMath1377.33001OpenAlexW2767712730MaRDI QIDQ1684695

Horst Alzer

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.077

zbMATH Keywords

combinatorial inequalitiescomplete monotonicitybinomial probabilitygamma and psi functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other analytical inequalities (26D20)

Related Items (11)

Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function ⋮ A combinatorial proof of the Gaussian product inequality beyond the \(\mathrm{MTP}_2\) case ⋮ Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution ⋮ From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions ⋮ Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Monotonicity properties for a ratio of finite many gamma functions ⋮ An opposite Gaussian product inequality ⋮ Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions

Cites Work

• Some classes of completely monotonic functions. II
• A probabilistic interpretation of complete monotonicity
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