Produktintegration mit nicht-äquidistanten Stützstellen.
Quadrature error expansions. II. The full corner singularity.
Quadrature Formulae for Hp Functions.
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.
Quadrature of singular integrands over surfaces.
Quadrature over the sphere.
Quadrature processes - development and new directions
Quadrature rules for periodic integrands. Bi-orthogonality and para-orthogonality.
Recurrent evaluation of integrals of the type , with respect to numerical stability
Remainder Term in Chakalov-Popoviciu Quadratures of Radau and Lobatto Type and Influence Function
Sharp error bounds for some quadrature formulae and applications.
Sharp error bounds for the trapezoidal rule and Simpson's rule.
Sharp Estimates in Terms of Moduli of Smoothness for Compound Cubature Rules.
Sharp Grüss-type inequalities for functions whose derivatives are of bounded variation.
Solving a class of multivariate integration problems via Laplace techniques
We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that can be handled...
Some double integral inequalities and applications.
Some generalized error inequalities and applications.
Some inequalities connected with an approximate integration.