A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to Lp[a, b] and applications in numerical integration

Journal of Mathematical Analysis and Applications

Volumn 255, Issue 2, 2001, Pages 605-626

  Dragomir, S S ^a  

^a VICTORIA UNIVERSITY   (Australia)

Author keywords

Ostrowski integral inequality; Quadrature formulae

Indexed keywords

EID: 0035869866     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7300     Document Type: Article

References (6)

1. 1-norm and applications to some special means and to some numerical quadrature rules. Tamkang J. Math. 28:1997;239-244.
2. Dragomir S. S., Wang S. An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules. Comput. Math. Appl. 33:1997;15-20.
3. Dragomir S. S., Wang S. Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules. Appl. Math. Lett. 11:1998;105-109.
4. p-norm. Indian J. Math. 40:1998;299-304.
5. Mitrinovic D. S., Pečarić J. E., Fink A. M. Inequalities Involving Functions and Their Integrals and Derivatives. 1994;Kluwer Academic, Dordrecht.
6. ∞[a, b] and applications in numerical integration, submitted for publication.