An approximation property of power functions

An Approximation Property of Gaussian Functions

Using the power series method, we solve the inhomogeneous linear first order differential equation y′(x) + λ(x− μ)y(x) = ∞ X

Approximation Power of Refinable Vectors of Functions †

In this paper we survey recent results on approximation power of refinable vectors of functions. Let Φ = (φ1, . . . , φr) be an r × 1 vector of compactly supported functions in Lp(IR) (1 ≤ p ≤ ∞). The first part of this paper is devoted to an investigation of approximation power of S(Φ), the shift-invariant space generated from Φ. We review results on characterizations of the approximation orde...

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

On Padé Approximation of Some Practical Functions

The Strong Approximation Property and the Weak Bounded Approximation Property

We show that the strong approximation property (strong AP) (respectively, strong CAP) and the weak bounded approximation property (respectively, weak BCAP) are equivalent for every Banach space. This gives a negative answer to Oja’s conjecture. As a consequence, we show that each of the spaces c0 and `1 has a subspace which has the AP but fails to have the strong AP.