AR Alimov, KS Ryutin, IG Tsar'kov, “Existence, uniqueness, and stability of best and near-best
approximations”, Uspekhi Mat. Nauk, 78:3(471) (2023), 3–52; Russian Math. Surveys, 78:3 (2023) …

The present paper is concerned with problems of solarity, proximinality, approximative
compactness, stability, and monotone path-connectedness in generalized rational …

It is shown that, under a natural constraint, a set of generalized rational fractions in an
atomless-space is a Chebyshev set with continuous metric projection only if this set is …

The non-isothermal analysis of materials with the application of the Arrhenius equation
involves temperature integration. If the frequency factor in the Arrhenius equation depends …

Computing the discrete rational minimax approximation in the complex plane is challenging.
Apart from Ruttan's sufficient condition, there are few other sufficient conditions for global …

In Chebyshev (uniform) approximation, the goal is to minimise the maximum deviation of the
approximation from the original function. Classical rational Chebyshev approximation is …

The theory of abstract convexity, also known as convexity without linearity, is an extension of
the classical convex analysis. There are a number of remarkable results, mostly concerning …

Computing the discrete rational minimax approximation in the complex plane is challenging.
Apart from Ruttan's sufficient condition, there are few other sufficient conditions for global …

In this paper, we demonstrate an application of generalised rational uniform (Chebyshev)
approximation to neural networks. In particular, our activation functions are rational functions …

В геометрической теории приближения наиболее важными вопросами исследования
приближающих множеств являются вопросы существования и единственности …