A perturbed ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded

Journal of Inequalities and Applications

Volumn 2008, Issue , 2008, Pages

  Liu, Wenjun ^a   Ng, Quc Anh ^b,c   Chen, Wenbing ^a  

^a NANJING UNIVERSITY OF INFORMATION SCIENCE AND TECHNOLOGY   (China)

^b VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58149489078     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/2008/597241     Document Type: Article

References (24)

1. Cerone P., Dragomir S. S., Roumeliotis J., An inequality of Ostrowski-Grss type for twice differentiable mappings and applications in numerical integration Kyungpook Mathematical Journal 1999 39 2 333 341
2. Dragomir S. S., Agarwal R. P., Cerone P., On Simpsons inequality and applications Journal of Inequalities and Applications 2000 5 6 533 579
3. Dragomir S. S., Cerone P., Roumeliotis J., A new generalization of Ostrowskis integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means Applied Mathematics Letters 2000 13 1 19 25
4. Liu W., Xue Q.-L., Wang S.-F., Several new perturbed Ostrowski-like type inequalities Journal of Inequalities in Pure and Applied Mathematics 2007 8 4, article 110 1 6
5. Liu W., Li C., Hao Y., Further generalization of some double integral inequalities and applications Acta Mathematica Universitatis Comenianae 2008 77 1 147 154
6. Liu W., Several error inequalities for a quadrature formula with a parameter and applications Computers Mathematics with Applications 2008 56 7 1766 1772
7. Mitrinovi D. S., Peari J. E., Fink A. M., Inequalities for Functions and Their Integrals and Derivatives 1994 Dordrecht, The Netherlands Kluwer Academic Publishers
8. Mitrinovi D. S., Peari J. E., Fink A. M., Classical and New Inequalities in Analysis 1993 61 Dordrecht, The Netherlands Kluwer Academic Publishers xviii+740 Mathematics and Its Applications
9. Ujevi N., A generalization of Ostrowskis inequality and applications in numerical integration Applied Mathematics Letters 2004 17 2 133 137
10. Hilger S., Ein makettenkalkl mit anwendung auf zentrumsmannigfaltigkeiten, Ph.D. thesis 1988 Wrzburg, Germany Universitaat Wrzburg
11. Agarwal R., Bohner M., Peterson A., Inequalities on time scales: a survey Mathematical Inequalities Applications 2001 4 4 535 557
12. Ammi M. R. S., Ferreira R. A. C., Torres D. F. M., Diamon- Jensens inequality on time scales Journal of Inequalities and Applications 2008 2008 13
13. Bohner M., Clark S., Ridenhour J., Lyapunov inequalities for time scales Journal of Inequalities and Applications 2002 7 1 61 77
14. Bohner M., Matthews T., The Grss inequality on time scales Communications in Mathematical Analysis 2007 3 1 1 8
15. Bohner M., Matthews T., Ostrowski inequalities on time scales Journal of Inequalities in Pure and Applied Mathematics 2008 9 1, article 6 1 8
16. Li W. N., Sheng W., Some nonlinear integral inequalities on time scales Journal of Inequalities and Applications 2007 2007 15
17. Wong F.-H., Yu S.-L., Yeh C.-C., Andersons inequality on time scales Applied Mathematics Letters 2006 19 9 931 935
18. Yeh C.-C., Hong H.-L., Li H.-J., Yu S.-L., Some complements of Cauchys inequality on time scales Journal of Inequalities and Applications 2006 2006 19
19. Liu W., Ng Q.-A., A generalization of Ostrowski inequality on time scales for k points Applied Mathematics and Computation 2008 203 2 754 760
20. Liu W., Ng Q.-A., An Ostrowski type inequality on time scales for functions whose second derivatives are bounded to appear in Inequality Theory and Applications 2009 6
21. Bohner M., Peterson A., Dynamic Equations on Time Scales: An Introduction with Application 2001 Boston, Mass, USA Birkhuser x+358
22. Bohner M., Peterso A., Advances in Dynamic Equations on Time Scales 2003 Boston, Mass, USA Birkhuser xii+348
23. Lakshmikantham V., Sivasundaram S., Kaymakcalan B., Dynamic Systems on Measure Chains 1996 370 Dordrecht, The Netherlands Kluwer Academic Publishers x+285 Mathematics and Its Applications
24. Sofo A., Dragomir S. S., A perturbed version of the Ostrowski inequality for twice differentiable mappings Turkish Journal of Mathematics 2001 25 3 379 412.