Constructive techniques in rational approximation

On Some Constructive Method of Rational Approximation

We study a constructive method of rational approximation of analytic functions based on ideas of the theory of Hankel operators. Some properties of the corresponding Hankel operator are investigated. We also consider questions related to the convergence of rational approximants. Analogues of Montessus de Ballore’s and Gonchars’s theorems on the convergence of rows of Padé approximants are proved.

Constructive Approximation in Waveform Design

Effective waveform design, for topics such as code division multiple access (CDMA), is essential to transmit many messages clearly and simultaneously on the same frequency band so that one user’s message does not become another user’s noise. Unimodular sequences are an essential characteristic for the applicability in communications and radar of waveforms whose autocorrelations have prescribed ...

Constructive belief and rational representation

It is commonplace in artificial intelligence to divide an agent’s explicit beliefs into two parts: the beliefs explicitly represented or manifest in memory, and the implicitly represented or constructive beliefs that are repeatedly reconstructed when needed rather than memorized. Many theories of knowledge view the relation between manifest and constructive beliefs as a logical relation, with t...

Rational Approximation

Recently several authors have investigated the question of approximating certain functions by reciprocals of polynomials under the uniform norm on the positive real axis . Perhaps these results have some applications in industry and elsewhere (cf. [1, 36]) . Our present motivation is to give a detailed list of all the known results with simplified proofs in some cases and many new results and f...

Sequential Constructive Techniques