A Generalization of Ostrowski Integral Inequality for Mappings whose Derivatives Belong to L1[a, b] and Applications in Numerical Integration

Journal of Computational Analysis and Applications

Volumn 3, Issue 4, 2001, Pages 343-360

  Dragomir, S S ^a  

^a VICTORIA UNIVERSITY   (Australia)

Author keywords

Ostrowski integral inequality; Quadrature formulae

Indexed keywords

EID: 0345736223     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012050307412     Document Type: Article

References (7)

1. 1-norm and applications to some special means and to some numerical quadrature rules, Tamkang J. of Math. 28, 239-244 (1997).
2. S. S. Dragomir and S. Wang, 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, Computers Math. Applic. 33, 15-20 (1997).
3. S. S. Dragomir and S. Wang, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. Math. Lett. 11, 105-109 (1998).
4. p-norm, Indian Journal of Mathematics 40, 299-304 (1998).
5. D. S. Mitrinović, J. E. Pečarić, and A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1994.
6. ∞[a, b] and applications in numerical integration (submitted).
7. p[a, b], 1 < p < ∞, and applications in numerical integration, J. Math. Anol. Appl. (in press).