Tables of Good Lattices in Four and Five Dimensions.
The Average A Posteriori Error of Numerical Methods.
The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem.
The circle theorem and related theorems for Gauss-type quadrature rules.
The Error Norm of Gaussian Quadrature Formulae for Weight Functions of Bernstein-Szegö Type.
The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type.
The Euler Maclaurin Expansion for the Cauchy Principal Value Integral.
The Numerical Evaluation of Hadamard Finite-part Integrals.
The Numerical Evaluation of Principal Value Integrals by Finite-Part Integration.
Tractability of multivariate problems for weighted spaces of functions
We survey recent results on tractability of multivariate problems. We mainly restrict ourselves to linear multivariate problems studied in the worst case setting. Typical examples include multivariate integration and function approximation for weighted spaces of smooth functions.
Truncation Error Analysis by Means of Approximant Systems and Inclusion Regions.
Two inequalities of simpson type for quasi-convex functions and applications.
Two Korovkin-type theorems in multivariate approximation.
Two sharp inequalities of Simpson type and applications.