Improvement and further generalization of inequalities of Ostrowski-Grüss type. (English) Zbl 0952.26013
The authors extend and improve certain Ostrowski-Grüss type inequalities due to Dragomir and Wang; as well as to Cerone, Dragomir and Roumeliotis. Further, they apply the obtained results to the estimation of error bounds for some quadrature rules. The obtained inequalities, as usual in many other papers, are applied to certain special means (as the identric or logarithmic means of two arguments). However, these results are not compared to the many existing strong inequalities in the literature.
Reviewer: József Sándor (Cluj-Napoca)
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 65D32 | Numerical quadrature and cubature formulas |
| 26E60 | Means |
Keywords:
integral inequalities; numerical quadrature; Ostrowski-Grüss type inequalities; special meansReferences:
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