The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications

Mathematical and Computer Modelling

Volumn 31, Issue 6-7, 2000, Pages 61-70

  Dragomir, S S ^a   Pecaric J ^b   Wang, S ^c  

^a VICTORIA UNIVERSITY   (Australia)

^b UNIVERSITY OF ZAGREB   (Croatia)

^c CURTIN UNIVERSITY   (Australia)

Author keywords

Cumulative distribution function; Quadrature formulae; Special means; Trapezoid inequality

Indexed keywords

EID: 0034163268     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00046-7     Document Type: Article

References (13)

1. S.S. Dragomir, Ostrowski's inequality for monotonic mappings and applications, J. KSIAM (to appear).
2. S.S. Dragomir, On Simpson's quadrature formula for mappings of bounded variation and applications, Tamkang J. of Math. (to appear).
3. S.S. Dragomir, On Simpson's quadrature formula for lipschitzian mappings and applications, Soochow J. of Math. (to appear).
4. p spaces and applications, J. KSIAM 2 (2), 57-65, (1998).
5. S.S. Dragomir, R.p. Argarwal and P. Cerone, On Simpson's Inequality and Applications, (submitted).
6. 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 to some numerical quadrature rules, Computers Math. Applic. 33 (11), 15-20, (1997).
7. 1 norm and its applications to some special means and to some numerical quadrature rules, Tamkang J. Of Math. 29, 239-244, (1997).
8. S.S. Dragomir and S. Wang, Applications of ostrowski inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. Math. Lett. 11 (1), 105-109, (1998).
9. p-norm, Italian J. of Math. (to appear).
10. S.S. Dragomir, On the trapezoid quadrature formula for mappings of bounded variation and applications, Extracta Mathematicae (to appear).
11. S.S. Dragomir, On the trapezoid formula for Lipschitzian mappings and applications, Tamkang J. of Math. (to appear).
12. V. Culjak, C.e.m. Pearce and J. Pecarić, The Unified Treatment Of Some Inequalities Of Ostrowski and Simpson's Type, (submitted).
13. N.S. Barnett and S.S. Dragomir, An inequality of Ostrowski type for cumulative distribution function, Kyungpook Math. J. (to appear).