Boolean algebra and multivariate interpolation
Bornes de l'erreur dans l'approximation polynomiale avec contraintes d'interpolation
Bounds for entropy and divergence for distributions over a two-element set.
Characterization of optimal polynomial and rational starting approximations
Characterization of the smoothness of functions with a given order of approximation by polynomials on the real line
Chebyshev approximation via polynomial mappings and the convergence behaviour of Krylov subspace methods.
Comparisons Between Best Polynomial Approximations and Interpolating Polynomials.
Computing with Laguerre polynomials.
Concerning approximation with nodes
Construction of Stancu-Hurwitz operator for two variables.
Constructive function theory on sets of the complex plane through potential theory and geometric function theory.
Continuidad De Polinomios En Espacios Vectoriales Topologicos.
Convexity and variation diminishing property for Bernstein polynomials in higher dimensions
Corrected Fourier series and its application to function approximation.
Correction to “Walsh equiconvergence for best approximates” Studia Math.. 77 (1984), 523-528
Degree of Best Approximation by Trigonometric Blending Functions.
Density in approximation theory.
Density methods and results in approximation theory
Approximation theory and functional analysis share many common problems and points of contact. One of the areas of mutual interest is that of density results. In this paper we briefly survey various methods and results in this area starting from work of Weierstrass and Riesz, and extending to more recent times.
Density of Polynomials in the L^2 Space on the Real and the Imaginary Axes and in a Sobolev Space
2000 Mathematics Subject Classification: 41A10, 30E10, 41A65.In this paper we consider an L^2 type space of scalar functions L^2 M, A (R u iR) which can be, in particular, the usual L^2 space of scalar functions on R u iR. We find conditions for density of polynomials in this space using a connection with the L^2 space of square-integrable matrix-valued functions on R with respect to a non-negative Hermitian matrix measure. The completness of L^2 M, A (R u iR ) is also established.
Derivatives of integrating functions for orthonormal polynomials with exponential-type weights.