An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind

JOURNAL OF NUMBER THEORY

卷:144

Article

Qi, Feng^1,2,3 

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China

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

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

关键词: Cauchy number of the second kind;    Integral representation;    Completely monotonic function;    Completely monotonic sequence;    Minimality;    Logarithmic convexity;    Inequality;    Majorization;   

DOI  :  10.1016/j.jnt.2014.05.009

来源: Elsevier

【 摘 要 】

In the paper, the author establishes an integral representation, finds the complete monotonicity, minimality, and logarithmic convexity, and presents some inequalities of Cauchy numbers of the second kind. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free