SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS AND INEQUALITIES FOR MULTINOMIAL COEFFICIENTS AND MULTIVARIATE BETA FUNCTIONS: Completely monotonic functions and inequalities

Abstract : In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in the light of logarithmically complete monotonicity of these extended functions, derive some inequalities for multinomial coefficients and multivari-ate beta functions. These results recover, extend, and generalize some known conclusions.
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https://hal.archives-ouvertes.fr/hal-01769288
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Soumis le : mardi 17 avril 2018 - 19:38:25
Dernière modification le : vendredi 20 avril 2018 - 01:03:54

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  • HAL Id : hal-01769288, version 1

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Feng Qi, Da-Wei Niu, Dongkyu Lim, Bai-Ni Guo. SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS AND INEQUALITIES FOR MULTINOMIAL COEFFICIENTS AND MULTIVARIATE BETA FUNCTIONS: Completely monotonic functions and inequalities. 2018. 〈hal-01769288〉

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