Inequalities of Ostrowski–Grüss type and applications. (English) Zbl 1011.26017
The author proves certain new extensions of the Ostrowski integral inequality, and apply them in the theory of quadrature formulae. For applications he considers Gauss-Legendre, Chebyshev, Radon, Lobatto, as well as composite-quadrature rules. The exact formulae are too complicated to be stated here.
Reviewer: József Sándor (Cluj-Napoca)
MSC:
26D15 | Inequalities for sums, series and integrals |
41A55 | Approximate quadratures |
65D32 | Numerical quadrature and cubature formulas |