Some completely monotonic functions involving the polygamma functions

被引：6

作者：

Gao, Peng ^{[1
]}

机构：

[1] Beihang Univ, Sch Math & Syst Sci, Dept Math, Beijing, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Completely monotonic function; Polygamma functions; DIVIDED DIFFERENCES; INEQUALITIES;

D O I：

10.1186/s13660-019-2172-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.

引用

页数：9

共 17 条

[1] Sharp inequalities for the digamma and polygamma functions [J].

Alzer, H .

FORUM MATHEMATICUM, 2004, 16 (02) :181-221

[2] Inequalities for the polygamma functions [J].

Alzer, H ;

Wells, J .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (06) :1459-1466

[3] Sub- and superadditive properties of Euler's gamma function [J].

Alzer, Horst .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (11) :3641-3648

[4] Bounds for certain harmonic sums [J].

English, BJ ;

Rousseau, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 206 (02) :428-441

[5] KOLMOGOROV-LANDAU INEQUALITIES FOR MONOTONE-FUNCTIONS [J].

FINK, AM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 90 (01) :251-258

[6]

Gao P., 2011, ISRN MATH ANAL, V2011

[7]

Qi F., ARXIV09033071

[8] On complete monotonicity for several classes of functions related to ratios of gamma functions [J].

Qi, Feng ;

Agarwal, Ravi P. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[9] Complete monotonicity of divided differences of the di- and tri-gamma functions with applications [J].

Qi, Feng ;

Guo, Bai-Ni .

GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (02) :279-291

[10] COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE DI- AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS [J].

Qi, Feng ;

Guo, Bai-Ni .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (06) :1975-1989

← 1 2 →