Weighted Ostrowski, Ostrowski-Gruss and Ostrowski-Cebysev type inequalities on time scales

被引:8
作者
Tuna, Adnan [2 ]
Jiang, Yong [1 ]
Liu, Wenjun [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[2] Nigde Univ, Fac Sci & Arts, Dept Math, Nigde, Turkey
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2012年 / 81卷 / 1-2期
基金
中国国家自然科学基金;
关键词
Ostrowski type inequality; Ostrowski-Gruss type inequality; Ostrowski-Cebysev type inequality; time scales; BOUNDS;
D O I
10.5486/PMD.2012.5078
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we derive some weighted Ostrowski, Ostrowski-Gruss and Ostrowski-Cebysev type inequalities on time scales. We also give some other interesting inequalities on time scales as special cases.
引用
收藏
页码:81 / 102
页数:22
相关论文
共 38 条
[1]   Inequalities on time scales: A survey [J].
Agarwal, R ;
Bohner, M ;
Peterson, A .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04) :535-557
[2]  
Ahmad F, 2010, J MATH INEQUAL, V4, P53
[3]  
[Anonymous], 1988, THESIS U WURZBURG WU
[4]  
[Anonymous], 1996, DYNAMIC SYSTEMS MEAS
[5]  
[Anonymous], 2009, J MATH SCI N Y
[6]  
[Anonymous], 2009, COMMUN MATH ANAL
[7]   An application of time scales to economics [J].
Atici, FM ;
Biles, DC ;
Lebedinsky, A .
MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (7-8) :718-726
[8]  
Bohner M., 2007, Commun. Math. Anal., V3
[9]  
Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[10]  
Bohner M., 2008, J. Inequal. Pure Appl. Math., V9, P8