Approximation of bounded functions by continuous functions

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

Of Approximation by Polynomials to Continuous Functions

On Padé Approximation of Some Practical Functions

Tensor products with bounded continuous functions

We study the natural inclusions of Cb(X)⊗A into Cb(X,A) and Cb ( X,Cb(Y ) ) into Cb(X × Y ). In particular, excepting trivial cases, both these maps are isomorphisms only when X and Y are pseudocompact. This implies a result of Glicksberg showing that the Stone-Čech compactificiation β(X × Y ) is naturally identified with βX × βY if and only if X and Y are pseudocompact.

Approximation of Analytic Functions by Chebyshev Functions

and Applied Analysis 3 where we refer to 1.4 for the am’s and we follow the convention ∏m−1 j m · · · 1. We can easily check that cm’s satisfy the following relation: m 2 m 1 cm 2 − ( m2 − n2 ) cm am 2.2 for any m ∈ {0, 1, 2, . . .}. Theorem 2.1. Assume that n is a positive integer and the radius of convergence of the power series ∑∞ m 0 amx m is ρ > 0. Let ρ0 min{1, ρ}. Then, every solution y ...