Approximation and Extension of Random Functions.
Approximation of Multivariable Functions with Respect to Random Points less than 2k, k Dimension of Space.
Brève communication. Résultats sur les procédés de sommation et l’algorithme
Determination of Korovkin Closures.
Extendability of T* Sets.
Measuring uncertainty without a norm.
Min-проблема моментов Маркова и быстродействие.
Nonparametric estimation of probability density functions based on orthogonal expansions.
On extremum-searching approximate probabilistic algorithms
On global smoothness preservation in complex approximation
By using the properties of convergence and global smoothness preservation of multivariate Weierstrass singular integrals, we establish multivariate complex Carleman type approximation results with rates. Here the approximants fulfill the global smoothness preservation property. Furthermore Mergelyan's theorem for the unit disc is strengthened by proving the global smoothness preservation property.
On some shift invariant integral operators, univariate case
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and...
Open problems in constructive function theory.
Quelques remarques sur la méthode de Lidston dans l'assurance sur la vie. II.
Quelques remarques sur la méthode de Lidston dans l'assurance sur la vie. I
Simplicial approximation of antipodal maps
Sur un théorème de Stieltjes et sur les fonctions définies par des fractions continues
Uniform approximation with linear combinations of reproducing kernels
We show several theorems on uniform approximation of functions. Each of them is based on the choice of a special reproducing kernel in an appropriate Hilbert space. The theorems have a common generalization whose proof is founded on the idea of the Kaczmarz projection algorithm.
О некоторых задачах оптимального восстановления аналитических и гармонических функций по неточным данным
Об одном наборе степенных рядов.