Matrix transformations and disk of convergence in interpolation processes.
Mean convergence of Grünwald interpolation operators.
Mean square approximation by optimal periodic interpolation
Following the research of Babuška and Práger, the author studies the approximation power of periodic interpolation in the mean square norm thus extending his own former results.
Mean-periodic functions.
Mehrdimensionale Hermite-Interpolation und numerische Integration.
Mémoire sur le calcul fonctionnel distributif
Modified Specht's plate bending element and its convergence analysis.
Multivariate Birkhoff-Lagrange interpolation schemes and Cartesian sets of nodes.
Multivariate interpolation II of Langrange and Hermite type
Multivariate smooth interpolation that employs polyharmonic functions
We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example...
Multivariate spline functions, B-spline bases and polynomial interpolations II