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.
Über eine neue Minimal-Eigenschaft der Gaußformeln.
Über optimale Quadraturformeln mit freien Knoten zu Hilberträumen periodischer Funktionen.
Umkehrsätze beim Trapezverfahren.
Une représentation intégrale de l'erreur d'Interpolation.
Unicity of Best One-Sided L1-Approximations
Universally optimal approximation of functionals
A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.
Weighted Markov inequalities for curved majorants.
Zur Existenz optimaler Quadraturformeln mit freien Knoten bei Integration analytischer Funktionen.
Zur Interpolation und Integration differenzierbarer periodischer Funktionen.
Zur Optimalität interpolatorischer Quadraturformeln periodischer Funktionen.-Optimal Formulas of Interpolatory Type for the Quadrature of Periodic Functions.
Zweidimensionale Quadraturformeln von Grad 7 mit 14 Punkten.
Асимптотическая оптимальность последовательностей формул с регулярным пограничным слоем при нечетных m
Асимптотически наилучшие весовые кубатурные формулы.
Квадратурные формулы и формула Пуанкаре-Бертрана для сингулярных интегралов