Extensions and Applications of Power-Type Aczel-Vasic-Pecaric's Inequalities

被引:1
作者
Chen, Kun [1 ,2 ]
Yan, Fei [1 ]
Yue, Hong-Ying [3 ]
机构
[1] North China Elect Power Univ, Baoding 071003, Hebei, Peoples R China
[2] Changde Power Supply Hunan Elect Power Co, Changde 415000, Hunan, Peoples R China
[3] North China Elect Power Univ, Coll Sci & Technol, Baoding 071051, Hebei, Peoples R China
关键词
HOLDERS INEQUALITY; CONVEX COMBINATION; MEAN INEQUALITY; REFINEMENTS; IMPROVEMENTS;
D O I
10.1155/2019/1323474
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we enrich and develop power-type Aczel-Vasic-Pecaric's inequalities. First of all, we give some new versions of theorems and corollaries about Aczel-Vasic-Pecaric's inequalities by quoting some lemmas. Moreover, in combination with Holder's inequality, we give some applications of the new version of Aczel-Vasic-Pecaric's inequality and give its proof process.
引用
收藏
页数:8
相关论文
共 37 条
[1]  
ACZEL J., 1956, Uspehi. Mat. Nauk (N. S.), V11, P3
[2]  
[Anonymous], ANAL INEQUALITIES
[3]  
[Anonymous], 1956, AM MATH MON
[4]   Bounds of the Neuman-Sandor Mean Using Power and Identric Means [J].
Chu, Yu-Ming ;
Long, Bo-Yong .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[5]   Two optimal double inequalities between power mean and logarithmic mean [J].
Chu, Yu-ming ;
Xia, Wei-feng .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (01) :83-89
[6]   Refinements of Aczel and Bellman's inequalities [J].
Hu, Zhicheng ;
Xu, Aimin .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (09) :3078-3083
[7]   Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means [J].
Long, Bo-Yong ;
Chu, Yu-Ming .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[8]  
Polya G., 1952, INEQUALITIES, V2d
[9]  
POPOVICIU T., 1959, Gaz. Mat. Fiz. Ser. A, V11, P451
[10]   N-tuple Diamond-Alpha integral and inequalities on time scales [J].
Tian, Jing-Feng ;
Zhu, Ya-Ru ;
Cheung, Wing-Sum .
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) :2189-2200