On the trapezoid quadrature formula and applications
On Weight Functions for Chebyshev Quadrature.
Optimal methods of integration in the class of differentiable functions
Optimal Numerical Quadrature in Hp Spaces.
Optimal Quadrature Formula of Markov's and Locher's Type with Weight Function
Optimal Rules with Polynomial Precision for Hilbert Spaces Possessing Reproducing Kernel Functions.
Optimal Rules with Polynomial Precision for Hubert Spaces Possessing Reproducing Kernel Functions. II. Error Bounds.
Optimale Approximation linearer Funktionale auf periodischen Funktionen.
Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf periodischen Funktionen. - Optimal Approximation with Side Conditions to Linear Functionals on Periodic Functions.
Optimale Differentiations- und Integrationsformeln in C0 [a, b]. - Optimal Differentiation and Integration Formulas in C0 [a, b].
Optimale Quadraturformeln mit semidefiniten Kernen.
Optimale Quadraturformeln mit semidefiniten Peano-Kernen. - Optimal Integration Formulas with Semidefinite Peano-Kernels.
Orthogonal Laurent polynomials and quadratures on the unit circle and the real half-line.
Perturbations of an Ostrowski type inequality and applications.
Polynomial approximation and the quadrature problem over a semi-infinite interval
Positivity of the Cotes Numbers for some Jacobi Abscissas.
Quadrature formulas based on the scaling function
The scaling function corresponding to the Daubechies wavelet with two vanishing moments is used to derive new quadrature formulas. This scaling function has the smallest support among all orthonormal scaling functions with the properties and . So, in this sense, its choice is optimal. Numerical examples are given.
Quadrature formulas for rational functions.
Quadrature Formulas Obtained by Variable Tranformation.
Quantitative versions of a result of Hecke in the theory of uniform distribution mod 1