On k-regular embeddings of spaces in Euclidean space
On Lagrange and Hermite Interpolation in Rk.
On Lagrange interpolation for functions of bounded variation.
On large random almost euclidean bases.
On maximal inequalities arising in best approximation.
On minimal points
On modified Meyer-König and Zeller operators of functions of two variables
This paper is motivated by Kirov results on generalized Bernstein polynomials given in (Kirov, G. H., A generalization of the Bernstein polynomials, Math. Balk. New Ser. bf 6 (1992), 147–153.). We introduce certain modified Meyer-König and Zeller operators in the space of differentiable functions of two variables and we study approximation properties for them. Some approximation properties of the Meyer-König and Zeller operators of differentiable functions of one variable are given in (Rempulska,...
On modified Szász-Mirakyan operators.
On multivariate approximation by Meyer-König-Zeller type polynomials.
On multivariate interpolation by weights.
On Multivariate Polynomials of Least Deviation from Zero on the Unit Ball.
On Müntz rational approximation in multivariables
The present paper shows that for any sequences of real numbers, each with infinitely many distinct elements, , j=1,...,s, the rational combinations of are always dense in .
On Newton interpolation formula.
On Nonlinear Condensation Principles with Rates.
On normal approximation of large products of functions: A refinement of Blackwell's result.
On norms of factors of multivariate polynomials on convex bodies.
On numerical cubatures of singular surface integrals in boundary element methods.
On obtaining dual sequences via quasi-monomiality.
On one approach to local surface smoothing
A bicubic model for local smoothing of surfaces is constructed on the base of pivot points. Such an approach allows reducing the dimension of matrix of normal equations more than twice. The model enables to increase essentially the speed and stability of calculations. The algorithms, constructed by the aid of the offered model, can be used both in applications and the development of global methods for smoothing and approximation of surfaces.
On one method of numerical integration
The uniform convergence of a sequence of Lienhard approximation of a given continuous function is proved. Further, a method of numerical integration is derived which is based on the Lienhard interpolation method.