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
[21]   Some delay integral inequalities on time scales [J].
Li, Wei Nian .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) :1929-1936
[22]  
LIU W. J., 2011, RGMIA RES REPORT COL, V14
[23]   A generalization of Ostrowski inequality on time scales for k points [J].
Liu, Wenjun ;
Quoc-Anh Ngo .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) :754-760
[24]   Ostrowski Type Inequalities on Time Scales for Double Integrals [J].
Liu, Wenjun ;
Quoc Anh Ngo ;
Chen, Wenbing .
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (01) :477-497
[25]  
Liu WJ, 2009, AN STI U OVID CO-MAT, V17, P101
[26]   An Ostrowski-Gruss type inequality on time scales [J].
Liu, Wenjun ;
Ngo, Quoc-Anh .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) :1207-1210
[27]   A Perturbed Ostrowski-Type Inequality on Time Scales for k Points for Functions Whose Second Derivatives Are Bounded [J].
Liu, Wenjun ;
Quoc Anh Ngo ;
Chen, Wenbing .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[28]  
Mitrinovic D. S., 1991, INEQUALITIES FUNCTIO
[29]  
Ostrowski A., 1937, Comment. Math. Helv., V10, P226, DOI [10.1007/BF01214290, DOI 10.1007/BF01214290, 10.1134/S0001434610010049, DOI 10.1134/S0001434610010049]
[30]  
Sarikaya MZ, 2010, ACTA MATH UNIV COMEN, V79, P126