SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS AND INEQUALITIES FOR MULTINOMIAL COEFFICIENTS AND MULTIVARIATE BETA FUNCTIONS

被引：15

作者：

Qi, Feng ^{[1
,2
]}

Niu, Da-Wei ^{[3
]}

Lim, Dongkyu ^{[4
]}

Guo, Bai-Ni ^{[5
]}

机构：

[1] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math & Phys, Tongliao 028043, Inner Mongolia, Peoples R China

[3] Henan Univ Anim Husb & Econ, Dept Sci, Zhengzhou 450046, Henan, Peoples R China

[4] Andong Natl Univ, Dept Math Educ, Andong 36729, South Korea

[5] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2020年 / 14卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

logarithmically complete monotonicity; completely monotonic function; gamma function; inequality; multinomial coefficient; multivariate beta function; Bernoulli trial; binomial probability; SHARP INEQUALITIES; GAMMA-FUNCTION; REPRESENTATIONS; PROPERTY;

D O I：

10.2298/AADM191111033Q

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 light of logarithmically complete monotonicity of these extended functions, derive some inequalities for multinomial coefficients and multivariate beta functions. These results recover, extend, and generalize some known conclusions.

引用

页码：512 / 527

页数：16

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