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
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
收藏
页码:141 / 150
页数:10
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