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

共 22 条

[1] Some properties of the Catalan-Qi function related to the Catalan numbers
Qi, Feng
Mahmoud, Mansour
Shi, Xiao-Ting
Liu, Fang-Fang
SPRINGERPLUS, 2016, 5
[2] Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers
Qi, Feng
Guo, Bai-Ni
COGENT MATHEMATICS, 2016, 3
[3] Logarithmically complete monotonicity of a function related to the Catalan-Qi function
Qi, Feng
Guo, Bai-Ni
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2016, 8 (01) : 93 - 102
[4] Three Identities of the Catalan-Qi Numbers
Mahmoud, Mansour
Qi, Feng
MATHEMATICS, 2016, 4 (02)
[5] ANALOGUES OF SEVERAL IDENTITIES AND SUPERCONGRUENCES FOR THE CATALAN-QI NUMBERS
Zou, Qing
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 235 - +
[6] Schur-convexity of the complete symmetric function
Guan, Kaizhong
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (04): : 567 - 576
[7] Convexity, Schur-convexity and bounds for the gamma function involving the digamma function
Merkle, M
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1998, 28 (03) : 1053 - 1066
[8] Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
Shi, Huan-Nan
Zhang, Jing
Ma, Qing-Hua
SPRINGERPLUS, 2016, 5
[9] Schur-convexity for compositions of complete symmetric function dual
Shi, Huan-Nan
Wang, Pei
Zhang, Jian
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
[10] Schur-convexity for compositions of complete symmetric function dual
Huan-Nan Shi
Pei Wang
Jian Zhang
Journal of Inequalities and Applications, 2020

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