Their topics include the degree of

uniform approximation by generalized discrete singular operators, Voronovskaya-like asymptotic expansion for generalized discrete singular operators, global smoothness preservation and simultaneous approximation by generalized discrete singular operators, the degree of Lp approximation for multivariate generalized discrete singular operators, and the degree of approximation by multivariate complex generalized discrete singular operators.

On

uniform approximation by Bleimann, Butzer and Hahn on all positive semiaxis.

The Carleman's theorem is a pointwise approximation result which generalizes the Weierstrass result on

uniform approximation by polynomials in compact intervals, since on any compact subinterval of R, the entire function can in turn be approximated uniformly by polynomials, more exactly by the partial sums of is power series (see Remark 2.

In [4], the optimal piecewise uniform quantizer for that source geometry has been designed assuming four cases for the piecewise

uniform approximation of the input radius PDF.

Similar to [9], we consider an alternative approach based on the use of polynomials of best

uniform approximation to the function 1/[lambda].

COMPUTATIONAL TECHNIQUES: PIECEWISE

UNIFORM APPROXIMATION APPROACH

It is probably impossible to generate a

uniform approximation within the limits of a linear model in the whole interval [0; 40] because periodic functions [f.

Key words and phrases : Sampling series,

uniform approximation, reconstruction process, sampling-based signal processing, system representation

Theorem 1 confirms a conjecture of Bagby and Gauthier [5] concerning the relationship between Carleman pairs and pairs for which

uniform approximation is possible.

Dovgoshei [2] considered the

uniform approximation on compact subsets of the complex plane.

For the applications we have in mind, a rational

uniform approximation with an error of [10.

Totik,

Uniform approximation by Bernstein-type operators, Indag.