Multivariate approximation theory with -splines
Nevanlinna Theory, Diophantine Approximation, and Numerical Analysis.
Nový pohled na algoritmickou matematiku
On Approximation by Sums of Chebyshev Norms.
On error formulas for approximation by sums of univariate functions.
On monotone extensions of boundary data.
On Optimal Global Error Bounds Obtained by Scaled Local Error Estimates.
On optimal methods in numerical analysis
Round-off error analysis of the gradient method.
On piecewise linear approximation of quadratic functions.
On rational approximations to the exponential
On the best approximation properties of -smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods).
On the Condition Number of some Gram Matrices Arising from Least Squares Approximation in the Complex Plane.
On the Convergence of an Algorithm for Discrete Lp Aprroximation.
On the representation of functions and finite difference operators on adaptive dyadic grids.
Optimal Convergence of Minimum Norm Approximations in Hp.
Optimal Cycles in Doubly Weighted Graphs and Approximation of Bivariate Functions by Univariate Ones.
Optimal distribution of break points at a diode function generator
Optimization of parameters in the Menzerath–Altmann law
Four formulas of the Menzerath–Altmann law are tested from the point of view of their applicability and suitability. The accuracy of related approximations of measured data is examined by the least square method at first. Then the accuracy of calculated parameters in the formulas under consideration is compared statistically. The influence of neglecting parameter is investigated as well. Finally, the obtained results are discussed by means of an illustrative example from quantitative linguistics....
Polynomials associated with exponential regression
Fitting exponentials to data by the least squares method is discussed. It is shown how the polynomials associated with this problem can be factored. The closure of the set of this type of functions defined on a finite domain is characterized and an existence theorem derived.
Programming of differential equations with singularitiens of the type in using the extension to power series