Nonlinear approximation in control problems
Nonlinear Approximation Theory on Compact Groups.
Non-linear Fractal Interpolating Functions
Nonnegative order iterates of Bernstein polynomials and their limiting semigroup
Nonparametric estimation of probability density functions based on orthogonal expansions.
Non-perturbative asymptotic improvement of perturbation theory and Mellin-Barnes representation.
Norm Bounds for Rational Matrix Functions.
Normal bivariate Birkhoff interpolation schemes and Pell equation
Finding the normal Birkhoff interpolation schemes where the interpolation space and the set of derivatives both have a given regular “shape” often amounts to number-theoretic equations. In this paper we discuss the relevance of the Pell equation to the normality of bivariate schemes for different types of “shapes”. In particular, when looking at triangular shapes, we will see that the conjecture in Lorentz R.A., Multivariate Birkhoff Interpolation, Lecture Notes in Mathematics, 1516, Springer, Berlin-Heidelberg,...
Norms in product spaces which preserve approximation properties.
Norms of projections on L... [ - 1, 1] and C [ -1, 1].
Note on Dragomir-Agarwal inequalities, the general Euler two-point formulae and convex functions.
Note on symmetric alteration of knots of B-spline curves.
Note on the first order orthogonal projections
Note on universal algorithms for learning theory
We study the universal estimator for the regression problem in learning theory considered by Binev et al. This new approach allows us to improve their results.
Note sur deux formules d'analyse
Note sur un développement d'une fonction en série
Nuclear Fréchet spaces without the bounded approximation property
Numerical characteristics of uniform Birkhoff univariate interpolation schemes.
Numerical Curvature Formulae with Preassigned Knots.
Numerical curves and their applications to algebraic curves
Hermite interpolation by bivariate algebraic polynomials and its applications to some problems of the theory of algebraic curves, such as the existence of algebraic curves with given singularities, is considered. The scheme , i.e., the sequence of multiplicities of nodes associated with the degree of interpolating polynomials, is considered. We continue the investigation of canonical decomposition of schemes and define so called maximal schemes. Some numerical results concerning the factorization...