Three point rules in numerical integration

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 4, 2001, Pages 2341-2352

  Cerone, P ^a,b  

^a VICTORIA UNIVERSITY   (Australia)

^b NONE

Author keywords

Newton Cotes Quadrature; Ostrowski type Inequalities; Three Point Identities and Inequalities

Indexed keywords

ERROR ANALYSIS; INTEGRATION; THEOREM PROVING;

NEWTON-COTES QUADRATURE; OSTROWSKI INEQUALITIES; THREE POINT IDENTITIES; THREE POINT INEQUALITIES;

NONLINEAR EQUATIONS;

EID: 0035421920     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00358-3     Document Type: Article

References (12)

1. Sur une classe de polnômes
2. Three point quadrature rules involving, at most, a first derivative
3. Three point identities and inequalities for n-time differentiable functions
4. Some Ostrowski type inequalities for n-time differentiable mappings and applications
5. A new generalisation of the trapezoid formula for n-time differentiable mappings and applications, (accepted)
6. On Simpson's inequality and applications
7. Applications for Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules
8. Bounds on the derivation of a function from its averages
9. Generalisations of some inequalities of Ostrowski-Grüss type