Ostrowski Type Inequalities on Time Scales for Double Integrals

被引:34
作者
Liu, Wenjun [1 ]
Quoc Anh Ngo [2 ,3 ]
Chen, Wenbing [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
[2] Vietnam Natl Univ, Dept Math, Coll Sci, Hanoi, Vietnam
[3] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
关键词
Ostrowski inequality; Double integrals; Time scales; CALCULUS;
D O I
10.1007/s10440-009-9456-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we first derive an Ostrowski type inequality on time scales for double integrals via Delta Delta-integral which unify corresponding continuous and discrete versions. We then replace the Delta Delta-integral by the a double dagger a double dagger-, Delta a double dagger-, and a double dagger Delta-integrals and get completely analogous results.
引用
收藏
页码:477 / 497
页数:21
相关论文
共 36 条
[1]   Inequalities on time scales: A survey [J].
Agarwal, R ;
Bohner, M ;
Peterson, A .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04) :535-557
[2]   Isoperimetric Problems on Time Scales with Nabla Derivatives [J].
Almeida, Ricardo ;
Torres, Delfim F. M. .
JOURNAL OF VIBRATION AND CONTROL, 2009, 15 (06) :951-958
[3]  
Ammi MRS, 2008, J INEQUAL APPL, DOI 10.1155/2008/576876
[4]  
[Anonymous], 2008, J INEQUAL PURE APPL
[5]  
[Anonymous], 1996, DYNAMIC SYSTEMS MEAS
[6]  
[Anonymous], INT J MATH STAT
[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, 2004, DYNAM SYST APPL, V13, P351
[9]  
Bohner M, 2005, DYNAM SYST APPL, V14, P579
[10]  
Bohner M., 2007, Commun. Math. Anal., V3