Bifractional inequalities and convex cones

被引：16
作者：
Niezgoda, M [1 ]
机构：
[1] Agr Univ Lublin, Dept Appl Math, PL-20950 Lublin, Poland
来源：
DISCRETE MATHEMATICS | 2006年 / 306卷 / 02期
关键词：
convex cone; dual cone; bifractional inequality; Chebyshev inequality; Andersson inequality; inequality of G. Seitz;
D O I：
10.1016/j.disc.2005.12.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give a systematic study of a class of linear inequalities related to convex cones in linear spaces. In particular, Chebyshev and Andersson type inequalities are discussed. Some classical and new inequalities are derived from the results. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：231 / 243
页数：13
相关论文
共 14 条
[1]  
Fink AM, 2003, MATH INEQUAL APPL, V6, P241
[2]  
FINK AM, 2003, J INEQUAL PURE APPL, V4
[3]  
FINK AM, 2005, J INEQUAL PURE APPL, V6
[4]  
McD Mercer, 2005, J INEQUAL PURE APPL, V6
[5]  
Mitrinovic D. S., 1970, Analytic Inequalities, V1
[6]  
NIEZGODA M, 2005, J INEQUAL PURE APPL, V6
[7]  
Rockafellar, 2015, CONVEX ANAL
[8]   On Chebyshev's inequality for sequences [J].
Toader, G .
DISCRETE MATHEMATICS, 1996, 161 (1-3) :317-322
[9]  
Toader G., 1995, Periodica Mathematica Hungarica, V30, P165
[10]  
Toader G, 1992, REV ANAL NUMERIQUE T, V21, P83
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