Inequalities of Ostrowski-Grüss type and applications
Some new inequalities of Ostrowski-Grüss type are derived. They are applied to the error analysis for some Gaussian and Gaussian-like quadrature formulas.
Asymptotic expressions for remainder terms of some quadrature rules
Asymptotic expressions for remainder terms of the mid-point, trapezoid and Simpson’s rules are given. Corresponding formulas with finite sums are also given.
New error inequalities for the Lagrange interpolating polynomial.
An integral inequality for convex functions and applications in numerical integration.
Error inequalities for a quadrature formula of open type.
A new kind of error bounds for some quadrature rules.
Error inequalities for a generalized quadrature rule.
Sharp error bounds for some quadrature formulae and applications.
Two sharp inequalities of Simpson type and applications.
Ostrowski-Grüss type inequalities in two dimensions.
Error inequalities for a corrected interpolating polynomial.
A generalization of the pre-Grüss inequality and applications to some quadrature formulae.
Perturbations of an Ostrowski type inequality and applications.
Inequalities of Ostrowski type and applications in numerical integration.
On generalizations of Ostrowski inequality and some related results
Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given.
An optimal 3-point quadrature formula of closed type and error bounds.
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