Constructive function theory and spline systems
Constructive function theory on sets of the complex plane through potential theory and geometric function theory.
Containing l1 or c0 and best approximation.
The purpose of this paper is to obtain sufficient conditions, for a Banach space X to contain or exclude c0 or l1, in terms of the sets of best approximants in X for the elements in the bidual space.
Continous Norms on Locally Convex Strict Inductive Limit Spaces.
Continued Fractions Associated With the Newton-Padé Table.
Continuidad De Polinomios En Espacios Vectoriales Topologicos.
Continuity properties of best analytic approximation.
Continuous dependence of the local strong unicity constant on domain.
Continuous Position and Existence Sets.
Convergence Analysis of the General Gauss-Newton Algorithm.
Convergence and integrability for some classes of trigonometric series [Book]
Convergence and Summability of Gabor Expansions at the Nyquist Density.
Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.
Convergence conditions for interpolation fractions at the nodes distinct from the singular points of a function.
Convergence of approximate splines via pseudo-inverses
Convergence of approximation processes on convex cones.
Convergence of Certain Quadrature Processes
Convergence of greedy approximation II. The trigonometric system
We study the following nonlinear method of approximation by trigonometric polynomials. For a periodic function f we take as an approximant a trigonometric polynomial of the form , where is a set of cardinality m containing the indices of the m largest (in absolute value) Fourier coefficients f̂(k) of the function f. Note that Gₘ(f) gives the best m-term approximant in the L₂-norm, and therefore, for each f ∈ L₂, ||f-Gₘ(f)||₂ → 0 as m → ∞. It is known from previous results that in the case of...
Convergence of iterates of linear operators and the Kelisky-Rivlin type theorems
Let X be a Banach space and T ∈ L(X), the space of all bounded linear operators on X. We give a list of necessary and sufficient conditions for the uniform stability of T, that is, for the convergence of the sequence of iterates of T in the uniform topology of L(X). In particular, T is uniformly stable iff for some p ∈ ℕ, the restriction of the pth iterate of T to the range of I-T is a Banach contraction. Our proof is elementary: It uses simple facts from linear algebra, and the Banach Contraction...
Convergence of Padé approximants for a q-hypergeometric series (Wynn's Power Series III).