On the error estimation in numerical methods
On the error of compound quadrature formulas for r-convex functions.
On the Evaluation of Certain Two-Dimensional Singular Integrals with Cauchy Kernels.
On the Existence of Optimal Integration Formulas for Analytic Functions.
On the midpoint quadrature formula for lipschitzian mappings and applications
On the midpoint quadrature formula for mappings with bounded variations and applications
On the monotonicity of sequences of quadrature formulae.
On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity.
On the positivity of certain Cotes numbers.
On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas.
On the randomized complexity of Banach space valued integration
We study the complexity of Banach space valued integration in the randomized setting. We are concerned with r times continuously differentiable functions on the d-dimensional unit cube Q, with values in a Banach space X, and investigate the relation of the optimal convergence rate to the geometry of X. It turns out that the nth minimal errors are bounded by if and only if X is of equal norm type p.
On the trapezoid quadrature formula and applications
On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals.
On the Weights of Certain Quadratures for the Numerical Evaluation of Cauchy Principal Value Integrals and Their Derivatives.
On two problems posed by Kenneth Stolarsky.
On Weight Functions for Chebyshev Quadrature.
On weighted Ostrowski type inequalities for operators and vector-valued functions.
Open problems in constructive function theory.
Optimal Addition of Knots to Cubature Formulae for Planar Regions.
Optimal and Sard approximation