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Inequalities Between the Quadrature Operators and Error Bounds of Quadrature Rules
Approximate integration Quadrature rules Convex functions of higher order
2008/7/1
The order structure of the set of six operators connected with quadrature rules is established in the class of 3-convex functions. Convex combinations of these operators are studied and their error bo...
On Error Bounds for Gauss-Legendre and Lobatto Quadrature Rules
Convex functions of higher orders Approximate integration Quadrature rules
2008/6/27
The error bounds for Gauss-Legendre and Lobatto quadratures are proved for
four times differentiable functions (instead of six times differentiable functions as in the classical results). Auxiliaril...