A refinement of the grüss inequality and applications

Tamkang Journal of Mathematics

Volumn 38, Issue 1, 2007, Pages 37-49

  Cerone, P ^a   Dragomir, S S ^a  

^a VICTORIA UNIVERSITY   (Australia)

Author keywords

Gr ss inequality; Lebesgue integral; Measurable functions; Perturbed rules

Indexed keywords

EID: 34250846425     PISSN: 00492930     EISSN: None     Source Type: Journal    
DOI: 10.5556/j.tkjm.38.2007.92     Document Type: Article

References (5)

1. P. Cerone and S.S. Dragomir, Midpoint-type rules from an inequalities point of view, Handbook of Analytic-Computational Methods in Applied Mathematics, Editor: G. Anastassiou, CRC Press, N.Y., (2000), 135-200.
2. P. Cerone and S.S. Dragomir, Trapezoid-type rules from an inequalities point of view, Handbook of Analytic-Computational Methods in Applied Mathematics, Editor: G. Anastassiou, CRC Press, N.Y., (2000), 65-134.
3. X. L. Cheng, Improvement of some Ostrowski-Grüss type inequalities, Computers Math. Applic., 42 (2001), 109-114.
4. X. L. Cheng and J. Sun, A note on the perturbed trapezoid inequality, J. Ineq. Pure. & Appl. Math., 3(2) (2002), Article 29. [ONLINE] http://jipam.vu.edu.au/v3n2/046_01.html
5. J. Roumeliotis, Improved weighted Ostrowski-Grüss type inequalities, RGMIA Research Report Collection, 5(1) (2002), Article 13. [ONLINE] http://rgmia.vu.edu.au/v5n1.html