Uniform Approximation by Spherical Spline Interpolation.
Uniform approximation of continuous functions and -functions in nuclear spaces by entire functions
Uniform approximation of continuous functions on compact sets by biharmonic functions
We give a characterization of functions that are uniformly approximable on a compact subset of by biharmonic functions in neighborhoods of .
Uniform approximation theorems for real-valued continuous functions.
For a completely regular space X, C(X) and C*(X) denote, respectively, the algebra of all real-valued continuous functions and bounded real-valued continuous functions over X. When X is not a pseudocompact space, i.e., if C*(X) ≠ C(X), theorems about uniform density for subsets of C*(X) are not directly translatable to C(X). In [1], Anderson gives a sufficient condition in order for certain rings of C(X) to be uniformly dense, but this condition is not necessary.In this paper we study the uniform...
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.
Uniform Bivariate Hermite Interpolation. I. Coordinate Degree.
Uniform convergence of derivatives of extended Lagrange interpolation.
Uniform convergence of Lienhard's spline approximations of a given continuous function.
Uniform convergence results for certain two-dimensional Cauchy principal value integrals.
Uniform extension of linear functionals
Uniform local strong uniqueness on finite subsets.
Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces
Uniform Weight-Function Approximation Of Functions With Values In Hilbert Space
Uniform weight-function approximation of functions with values in Hilbert space.
Unique solvability in bivariate Hermite interpolation.
Uniqueness of minimal projections onto two-dimensional subspaces
We prove that minimal projections from (1 < p < ∞) onto any two-dimensional subspace are unique. This result complements the theorems of W. Odyniec ([OL, Theorem I.1.3], [O3]). We also investigate the minimal number of norming points for such projections.
Unitary Mappings Between Multiresolution Analyses of L... (R) and a Parametrization of Low-Pass Filters.
Univariate Shepard-Lagrange interpolation
Univariate spline quasi-interpolants and applications to numerical analysis.
Universal approximation by hill functions