Schur-convexity of the Catalan-Qi function related to the Catalan numbers

被引：20

作者：

Qi, Feng ^{[1
,2
,3
]}

Shi, Xiao-Ting ^{[3
]}

Mahmoud, Mansour ^{[4
]}

Liu, Fang-Fang ^{[3
]}

机构：

[1] Henan Polytech Univ, Inst Math, Jiaozuo City 454010, Henan Province, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mangolia, Peoples R China

[3] Tianjin Polytech Univ, Dept Math, Coll Sci, Tianjin 300387, Peoples R China

[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

TBILISI MATHEMATICAL JOURNAL | 2016年 / 9卷 / 02期

关键词：

Schur-convexity; logarithmically complete monotonicity; Catalan-Qi function; Catalan number; majorization;

D O I：

10.1515/tmj-2016-0026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the authors present the Schur-convexity the absolute of the logarithm of the Catalan-Qi function and prove the logarithmically complete monotonicity of the Catalan-Qi function.

引用

页码：141 / 150

页数：10