Improvement and further generalization of inequalities of Ostrowski-Grüss type

Computers and Mathematics with Applications

Volumn 39, Issue 3-4, 2000, Pages 161-175

  Matic M ^a   Pecaric J ^b   Ujevic N ^c  

^a UNIVERSITY OF SPLIT   (Croatia)

^b UNIVERSITY OF ZAGREB   (Croatia)

^c UNIVERSITY OF SPLIT   (Croatia)

Author keywords

Gr ss' inequality; Numerical quadrature rules; Ostrowski's inequality

Indexed keywords

CONFORMAL MAPPING; ERROR ANALYSIS; FUNCTIONS; NUMERICAL METHODS; THEOREM PROVING;

ERROR ESTIMATION; GRUSS INEQUALITY; NUMERICAL QUADRATURE RULES; OSTROWSKI INEQUALITY;

INTEGRAL EQUATIONS;

EID: 0034140083     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(99)00342-9     Document Type: Article

References (6)

1. D.S. Mitrinović, J.E. Pečarić and A.M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic, Dordrecht, (1991).
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 (11), 16-20 (1997).
3. P. Cerone, S.S. Dragomir and J. Roumeliotis, An inequality of Ostrowski-Grüss type for twice differentiable mappings and applications in numerical integration (submitted).
4. D.S. Mitrinović, J.E. Pečarić and A.M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic, Dordrecht, (1993).
5. P. Cerone, S.S. Dragomir and J. Roumeliotis, Some Ostrowski type inequalities for n-time differentiable mappings and applications, RGMIA, Research Report Collection, Volume 1, No. 1 (1998).
6. P.S. Bullen, D.S. Mitrinović and P.M. Vasić, Means and Their Inequalities, D. Reidel, Dordrecht, (1988).