On Euler trapezoid formulae

Applied Mathematics and Computation

Volumn 123, Issue 1, 2001, Pages 37-62

  Dedic, Lj ^a   Matic, M ^b   Pecaric J ^c  

^a UNIVERSITY OF SPLIT   (Croatia)

^b UNIVERSITY OF SPLIT   (Croatia)

^c UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Bernoulli numbers; Bounded variation; Euler trapezoid formulae; Lipschitzian functions; Quadrature formulae

Indexed keywords

EID: 0035840383     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00054-0     Document Type: Article

References (9)

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3. V.I. Krylov Approximate Calculation of Integrals 1962 Macmillan New York
4. Lj. Dedić M. Matić J. Pečarić On generalizations of Ostrowski inequality via some Euler-type identities Math. Inequal. Appl. 3 3 2000 337 353
5. S.S. Dragomir, On the trapezoid quadrature formula for mappings of bounded variation and applications. http://rgmia.vu.edu.au/severdvi/TRAPB.dvi
6. S.S. Dragomir, On the trapezoid quadrature formula for Lipschitzian mappings and applications, Tamkang J. Math. 30 (2) (1999) 133–138. http://rgmia.vu.edu.au/severdvi/TRAPL.dvi
7. P. Cerone S.S. Dragomir Trapezoidal type rules from an inequalities point of view G. Anastassiou Handbook of Analytic-Computational Methods in Applied Mathematics 2000 CRC Press New York 65 134
8. S.S. Dragomir P. Cerone A. Sofo Some remarks on the trapezoid rule in numerical integration Indian J. Pure Appl. Math. 31 5 2000 475 494
9. S.S. Dragomir, S. Mabizela, Some error estimates in the trapezoidal quadrature rule, RGMIA Research Report Collection, 2 (5), Article 6, 1999