SOME MONOTONICITY PROPERTIES AND INEQUALITIES FOR THE (p,k)-GAMMA FUNCTION

被引：11

作者：

Nantomah, Kwara ^{[1
]}

Merovci, Faton ^{[2
]}

Nasiru, Suleman ^{[3
]}

机构：

[1] Univ Dev Studies, Fac Math Sci, Dept Math, Navrongo Campus,POB 24, Navrongo, Ghana

[2] Univ Mitrovica Isa Boletini, Dept Math, Mitrovica, Kosovo

[3] Univ Dev Studies, Fac Math Sci, Dept Stat, Navrongo Campus,POB 24, Navrongo, Ghana

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 02期

关键词：

Gamma function; (p; k)-analogue; completely monotonic function; logarithmically completely monotonic function; inequality;

D O I：

10.5937/KgJMath1802287N

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors present some complete monotonicity properties and some inequalities involving the (p,k)-analogue of the Gamma function. The established results provide the (p,k)-generalizations for some results known in the literature.

引用

页码：287 / 297

页数：11

共 12 条

[1] On some inequalities for the gamma and psi functions [J].

Alzer, H .

MATHEMATICS OF COMPUTATION, 1997, 66 (217) :373-389

[2]

Chen Ch.-P., 2006, GEN MATH, V14, P127

[3]

Chen YC, 2012, MATH INEQUAL APPL, V15, P395

[4]

GAO P., 2011, ISRN MATH ANAL, V2011

[5]

Guo S., ARXIV09044027

[6] SOME PROPERTIES OF THE k-GAMMA FUNCTION [J].

Kokologiannaki, Chrysi G. ;

Krasniqi, Valmir .

MATEMATICHE, 2013, 68 (01) :13-22

[7]

Krasniqi V, 2010, ANN MATH INFORM, V37, P95

[8] LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GENERALIZED GAMMA FUNCTION [J].

Krasniqi, Valmir ;

Merovci, Faton .

MATEMATICHE, 2010, 65 (02) :15-23

[9]

Krasniqi V, 2010, MATH COMMUN, V15, P365

[10]

Merovci F., 2010, ACTA U APULENSIS MAT, V23, P147

← 1 2 →